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@article{DBLP:journals/jce/Koshelev23,
author = {Dmitrii I. Koshelev},
title = {Subgroup membership testing on elliptic curves via the Tate pairing},
journal = {J. Cryptogr. Eng.},
volume = {13},
number = {1},
pages = {125--128},
year = {2023},
url = {https://doi.org/10.1007/s13389-022-00296-9},
doi = {10.1007/S13389-022-00296-9},
timestamp = {Mon, 18 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jce/Koshelev23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Robert23,
author = {Damien Robert},
title = {The geometric interpretation of the Tate pairing and its applications},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {177},
year = {2023},
url = {https://eprint.iacr.org/2023/177},
timestamp = {Tue, 28 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/iacr/Robert23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Koshelev22,
author = {Dmitrii I. Koshelev},
title = {Subgroup membership testing on elliptic curves via the Tate pairing},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {37},
year = {2022},
url = {https://eprint.iacr.org/2022/037},
timestamp = {Mon, 18 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/iacr/Koshelev22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Satoh19,
author = {Takakazu Satoh},
title = {Miller Inversion is Easy for the Reduced Tate Pairing on Trace Zero
Supersingular Curves},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {385},
year = {2019},
url = {https://eprint.iacr.org/2019/385},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Satoh19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cryptography/ChandrasekaranB18,
author = {Balaji Chandrasekaran and
Ramadoss Balakrishnan},
title = {An Efficient Tate Pairing Algorithm for a Decentralized Key-Policy
Attribute Based Encryption Scheme in Cloud Environments},
journal = {Cryptogr.},
volume = {2},
number = {3},
pages = {14},
year = {2018},
url = {https://doi.org/10.3390/cryptography2030014},
doi = {10.3390/CRYPTOGRAPHY2030014},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cryptography/ChandrasekaranB18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jco/DossK18,
author = {Srinath Doss and
Roselyn Kaondera{-}Shava},
title = {An optimal Tate pairing computation using Jacobi quartic elliptic
curves},
journal = {J. Comb. Optim.},
volume = {35},
number = {4},
pages = {1086--1103},
year = {2018},
url = {https://doi.org/10.1007/s10878-018-0257-y},
doi = {10.1007/S10878-018-0257-Y},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jco/DossK18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/atis/Rao16,
author = {Srinivasa Rao Subramanya Rao},
editor = {Lynn Batten and
Gang Li},
title = {An Improved EllipticNet Algorithm for Tate Pairing on Weierstrass'
Curves, Faster Point Arithmetic and Pairing on Selmer Curves and a
Note on Double Scalar Multiplication},
booktitle = {Applications and Techniques in Information Security - 6th International
Conference, {ATIS} 2016, Cairns, QLD, Australia, October 26-28, 2016,
Proceedings},
series = {Communications in Computer and Information Science},
volume = {651},
pages = {93--105},
year = {2016},
url = {https://doi.org/10.1007/978-981-10-2741-3\_8},
doi = {10.1007/978-981-10-2741-3\_8},
timestamp = {Mon, 21 Oct 2019 09:19:27 +0200},
biburl = {https://dblp.org/rec/conf/atis/Rao16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/LashermesFG15,
author = {Ronan Lashermes and
Jacques J. A. Fournier and
Louis Goubin},
title = {Inverting the Final exponentiation of Tate pairings on ordinary elliptic
curves using faults},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {152},
year = {2015},
url = {http://eprint.iacr.org/2015/152},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/LashermesFG15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieicet/KiyomuraT14,
author = {Yutaro Kiyomura and
Tsuyoshi Takagi},
title = {Efficient Algorithm for Tate Pairing of Composite Order},
journal = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
volume = {97-A},
number = {10},
pages = {2055--2063},
year = {2014},
url = {https://doi.org/10.1587/transfun.E97.A.2055},
doi = {10.1587/TRANSFUN.E97.A.2055},
timestamp = {Sat, 11 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/KiyomuraT14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/africacrypt/Tran14,
author = {Christophe Tran},
editor = {David Pointcheval and
Damien Vergnaud},
title = {Formulae for Computation of Tate Pairing on Hyperelliptic Curve Using
Hyperelliptic Nets},
booktitle = {Progress in Cryptology - {AFRICACRYPT} 2014 - 7th International Conference
on Cryptology in Africa, Marrakesh, Morocco, May 28-30, 2014. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8469},
pages = {199--214},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-319-06734-6\_13},
doi = {10.1007/978-3-319-06734-6\_13},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/africacrypt/Tran14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/KimKC13,
author = {Taechan Kim and
Sungwook Kim and
Jung Hee Cheon},
title = {On the Final Exponentiation in Tate Pairing Computations},
journal = {{IEEE} Trans. Inf. Theory},
volume = {59},
number = {6},
pages = {4033--4041},
year = {2013},
url = {https://doi.org/10.1109/TIT.2013.2240763},
doi = {10.1109/TIT.2013.2240763},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tit/KimKC13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ches/LashermesFG13,
author = {Ronan Lashermes and
Jacques J. A. Fournier and
Louis Goubin},
editor = {Guido Bertoni and
Jean{-}S{\'{e}}bastien Coron},
title = {Inverting the Final Exponentiation of Tate Pairings on Ordinary Elliptic
Curves Using Faults},
booktitle = {Cryptographic Hardware and Embedded Systems - {CHES} 2013 - 15th International
Workshop, Santa Barbara, CA, USA, August 20-23, 2013. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8086},
pages = {365--382},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-642-40349-1\_21},
doi = {10.1007/978-3-642-40349-1\_21},
timestamp = {Tue, 14 May 2019 10:00:47 +0200},
biburl = {https://dblp.org/rec/conf/ches/LashermesFG13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icics/HuWXZ13,
author = {Zhi Hu and
Lin Wang and
Maozhi Xu and
Guoliang Zhang},
editor = {Sihan Qing and
Jianying Zhou and
Dongmei Liu},
title = {Generation and Tate Pairing Computation of Ordinary Elliptic Curves
with Embedding Degree One},
booktitle = {Information and Communications Security - 15th International Conference,
{ICICS} 2013, Beijing, China, November 20-22, 2013. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8233},
pages = {393--403},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-319-02726-5\_28},
doi = {10.1007/978-3-319-02726-5\_28},
timestamp = {Thu, 31 Oct 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icics/HuWXZ13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/incos/TianGG13,
author = {Yulong Tian and
Dawu Gu and
Haihua Gu},
title = {Efficient Implementation of Tate Pairing with Montgomery Ladder Method},
booktitle = {2013 5th International Conference on Intelligent Networking and Collaborative
Systems, Xi'an city, Shaanxi province, China, September 9-11, 2013},
pages = {398--402},
publisher = {{IEEE}},
year = {2013},
url = {https://doi.org/10.1109/INCoS.2013.75},
doi = {10.1109/INCOS.2013.75},
timestamp = {Wed, 16 Oct 2019 14:14:53 +0200},
biburl = {https://dblp.org/rec/conf/incos/TianGG13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iwsec/KiyomuraT13,
author = {Yutaro Kiyomura and
Tsuyoshi Takagi},
editor = {Kazuo Sakiyama and
Masayuki Terada},
title = {Efficient Algorithm for Tate Pairing of Composite Order},
booktitle = {Advances in Information and Computer Security - 8th International
Workshop on Security, {IWSEC} 2013, Okinawa, Japan, November 18-20,
2013, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8231},
pages = {201--216},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-642-41383-4\_13},
doi = {10.1007/978-3-642-41383-4\_13},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/iwsec/KiyomuraT13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nbis/KonoSN13,
author = {Yuki Kono and
Taichi Sumo and
Yasuyuki Nogami},
editor = {Leonard Barolli and
Tomoya Enokido and
Fatos Xhafa and
Makoto Takizawa and
James J. Park},
title = {A Smaller Final Exponentiation for Tate and Ate Pairings with Barreto-Naehrig
Curve},
booktitle = {16th International Conference on Network-Based Information Systems,
NBiS 2013, Seo-gu, Gwangju, CA, Korea (South), September 4-6, 2013},
pages = {518--522},
publisher = {{IEEE} Computer Society},
year = {2013},
url = {https://doi.org/10.1109/NBiS.2013.86},
doi = {10.1109/NBIS.2013.86},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/nbis/KonoSN13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijguc/SuSLM12,
author = {Zhitu Su and
Chunhui Sun and
Hui Li and
Jianfeng Ma},
title = {A method for efficient parallel computation of Tate pairing},
journal = {Int. J. Grid Util. Comput.},
volume = {3},
number = {1},
pages = {43--52},
year = {2012},
url = {https://doi.org/10.1504/IJGUC.2012.045698},
doi = {10.1504/IJGUC.2012.045698},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ijguc/SuSLM12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pairing/DuquesneF12,
author = {Sylvain Duquesne and
Emmanuel Fouotsa},
editor = {Michel Abdalla and
Tanja Lange},
title = {Tate Pairing Computation on Jacobi's Elliptic Curves},
booktitle = {Pairing-Based Cryptography - Pairing 2012 - 5th International Conference,
Cologne, Germany, May 16-18, 2012, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {7708},
pages = {254--269},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-36334-4\_17},
doi = {10.1007/978-3-642-36334-4\_17},
timestamp = {Tue, 14 May 2019 10:00:42 +0200},
biburl = {https://dblp.org/rec/conf/pairing/DuquesneF12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pairing/UchidaU12,
author = {Yukihiro Uchida and
Shigenori Uchiyama},
editor = {Michel Abdalla and
Tanja Lange},
title = {The Tate-Lichtenbaum Pairing on a Hyperelliptic Curve via Hyperelliptic
Nets},
booktitle = {Pairing-Based Cryptography - Pairing 2012 - 5th International Conference,
Cologne, Germany, May 16-18, 2012, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {7708},
pages = {218--233},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-36334-4\_15},
doi = {10.1007/978-3-642-36334-4\_15},
timestamp = {Mon, 22 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/pairing/UchidaU12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wisa/LiZ12,
author = {Liangze Li and
Fan Zhang},
editor = {Dong Hoon Lee and
Moti Yung},
title = {Tate Pairing Computation on Generalized Hessian Curves},
booktitle = {Information Security Applications - 13th International Workshop, {WISA}
2012, Jeju Island, Korea, August 16-18, 2012, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {7690},
pages = {111--123},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-35416-8\_9},
doi = {10.1007/978-3-642-35416-8\_9},
timestamp = {Tue, 14 May 2019 10:00:35 +0200},
biburl = {https://dblp.org/rec/conf/wisa/LiZ12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/AouinatouB12a,
author = {Rkia Aouinatou and
Mostafa Belkasmi},
title = {Cyptanalysis {CDHP} , {BDHP} and Tate pairing under certain conditions
The Tate pairing is less secure than Weil},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {277},
year = {2012},
url = {http://eprint.iacr.org/2012/277},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/AouinatouB12a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/KimKC12,
author = {Taechan Kim and
Sungwook Kim and
Jung Hee Cheon},
title = {Accelerating the Final Exponentiation in the Computation of the Tate
Pairings},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {119},
year = {2012},
url = {http://eprint.iacr.org/2012/119},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/KimKC12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iasc/DaiWPQ11,
author = {Guangming Dai and
Maocai Wang and
Lei Peng and
Ruijie Qin},
title = {Implementation And Optimization For Tate Pairing},
journal = {Intell. Autom. Soft Comput.},
volume = {17},
number = {5},
pages = {607--617},
year = {2011},
url = {https://doi.org/10.1080/10798587.2011.10643174},
doi = {10.1080/10798587.2011.10643174},
timestamp = {Wed, 27 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iasc/DaiWPQ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arc/PanM11,
author = {Weibo Pan and
William P. Marnane},
editor = {Andreas Koch and
Ram Krishnamurthy and
John McAllister and
Roger F. Woods and
Tarek A. El{-}Ghazawi},
title = {A Correlation Power Analysis Attack against Tate Pairing on {FPGA}},
booktitle = {Reconfigurable Computing: Architectures, Tools and Applications -
7th International Symposium, {ARC} 2011, Belfast, UK, March 23-25,
2011. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {6578},
pages = {340--349},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-19475-7\_36},
doi = {10.1007/978-3-642-19475-7\_36},
timestamp = {Fri, 25 Feb 2022 16:33:50 +0100},
biburl = {https://dblp.org/rec/conf/arc/PanM11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cisc/ZhangCL11,
author = {Xusheng Zhang and
Shan Chen and
Dongdai Lin},
editor = {Chuankun Wu and
Moti Yung and
Dongdai Lin},
title = {Fast Tate Pairing Computation on Twisted Jacobi Intersections Curves},
booktitle = {Information Security and Cryptology - 7th International Conference,
Inscrypt 2011, Beijing, China, November 30 - December 3, 2011. Revised
Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {7537},
pages = {210--226},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-34704-7\_16},
doi = {10.1007/978-3-642-34704-7\_16},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/cisc/ZhangCL11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ima/AranhaKMR11,
author = {Diego F. Aranha and
Edward Knapp and
Alfred Menezes and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
editor = {Liqun Chen},
title = {Parallelizing the Weil and Tate Pairings},
booktitle = {Cryptography and Coding - 13th {IMA} International Conference, {IMACC}
2011, Oxford, UK, December 12-15, 2011. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {7089},
pages = {275--295},
publisher = {Springer},
year = {2011},
url = {https://doi.org/10.1007/978-3-642-25516-8\_17},
doi = {10.1007/978-3-642-25516-8\_17},
timestamp = {Wed, 18 Mar 2020 16:00:56 +0100},
biburl = {https://dblp.org/rec/conf/ima/AranhaKMR11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/incos/SuSLMF11,
author = {Zhitu Su and
Chunhui Sun and
Hui Li and
Jianfeng Ma and
Kai Fan},
editor = {Fatos Xhafa and
Leonard Barolli and
Mario K{\"{o}}ppen},
title = {Fast Parallel Computation of Tate Pairing},
booktitle = {2011 Third International Conference on Intelligent Networking and
Collaborative Systems (INCoS), Fukuoka, Japan, November 30 - Dec.
2, 2011},
pages = {178--183},
publisher = {{IEEE} Computer Society},
year = {2011},
url = {https://doi.org/10.1109/INCoS.2011.93},
doi = {10.1109/INCOS.2011.93},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/incos/SuSLMF11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/lmsjcm/FisherSS10,
author = {Tom A. Fisher and
Edward F. Schaefer and
Michael Stoll},
title = {The yoga of the Cassels-Tate pairing},
journal = {{LMS} J. Comput. Math.},
volume = {13},
pages = {451--460},
year = {2010},
url = {https://doi.org/10.1112/s1461157010000185},
doi = {10.1112/S1461157010000185},
timestamp = {Fri, 22 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/lmsjcm/FisherSS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arc/PanM10,
author = {Weibo Pan and
William P. Marnane},
editor = {Phaophak Sirisuk and
Fearghal Morgan and
Tarek A. El{-}Ghazawi and
Hideharu Amano},
title = {A Reconfigurable Implementation of the Tate Pairing Computation over
\emph{GF}(2\({}^{\mbox{\emph{m}}}\))},
booktitle = {Reconfigurable Computing: Architectures, Tools and Applications, 6th
International Symposium, {ARC} 2010, Bangkok, Thailand, March 17-19,
2010. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5992},
pages = {80--91},
publisher = {Springer},
year = {2010},
url = {https://doi.org/10.1007/978-3-642-12133-3\_10},
doi = {10.1007/978-3-642-12133-3\_10},
timestamp = {Tue, 14 May 2019 10:00:49 +0200},
biburl = {https://dblp.org/rec/conf/arc/PanM10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pairing/Estibals10,
author = {Nicolas Estibals},
editor = {Marc Joye and
Atsuko Miyaji and
Akira Otsuka},
title = {Compact Hardware for Computing the Tate Pairing over 128-Bit-Security
Supersingular Curves},
booktitle = {Pairing-Based Cryptography - Pairing 2010 - 4th International Conference,
Yamanaka Hot Spring, Japan, December 2010. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {6487},
pages = {397--416},
publisher = {Springer},
year = {2010},
url = {https://doi.org/10.1007/978-3-642-17455-1\_25},
doi = {10.1007/978-3-642-17455-1\_25},
timestamp = {Tue, 14 May 2019 10:00:42 +0200},
biburl = {https://dblp.org/rec/conf/pairing/Estibals10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Estibals10,
author = {Nicolas Estibals},
title = {Compact hardware for computing the Tate pairing over 128-bit-security
supersingular curves},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {371},
year = {2010},
url = {http://eprint.iacr.org/2010/371},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Estibals10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tc/ShuKG09,
author = {Chang Shu and
Soonhak Kwon and
Kris Gaj},
title = {Reconfigurable Computing Approach for Tate Pairing Cryptosystems over
Binary Fields},
journal = {{IEEE} Trans. Computers},
volume = {58},
number = {9},
pages = {1221--1237},
year = {2009},
url = {https://doi.org/10.1109/TC.2009.64},
doi = {10.1109/TC.2009.64},
timestamp = {Sat, 20 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tc/ShuKG09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cans/BeuchatLMMR09,
author = {Jean{-}Luc Beuchat and
Emmanuel L{\'{o}}pez{-}Trejo and
Luis Mart{\'{\i}}nez{-}Ramos and
Shigeo Mitsunari and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
editor = {Juan A. Garay and
Atsuko Miyaji and
Akira Otsuka},
title = {Multi-core Implementation of the Tate Pairing over Supersingular Elliptic
Curves},
booktitle = {Cryptology and Network Security, 8th International Conference, {CANS}
2009, Kanazawa, Japan, December 12-14, 2009. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5888},
pages = {413--432},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-10433-6\_28},
doi = {10.1007/978-3-642-10433-6\_28},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cans/BeuchatLMMR09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ches/BeuchatDEOR09,
author = {Jean{-}Luc Beuchat and
J{\'{e}}r{\'{e}}mie Detrey and
Nicolas Estibals and
Eiji Okamoto and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
editor = {Christophe Clavier and
Kris Gaj},
title = {Hardware Accelerator for the Tate Pairing in Characteristic Three
Based on Karatsuba-Ofman Multipliers},
booktitle = {Cryptographic Hardware and Embedded Systems - {CHES} 2009, 11th International
Workshop, Lausanne, Switzerland, September 6-9, 2009, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5747},
pages = {225--239},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-04138-9\_17},
doi = {10.1007/978-3-642-04138-9\_17},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/ches/BeuchatDEOR09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nca/XiongWD09,
author = {Xiaokang Xiong and
Duncan S. Wong and
Xiaotie Deng},
title = {TinyPairing: Computing Tate Pairing on Sensor Nodes with Higher Speed
and Less Memory},
booktitle = {Proceedings of The Eighth {IEEE} International Symposium on Networking
Computing and Applications, {NCA} 2009, July 9-11, 2009, Cambridge,
Massachusetts, {USA}},
pages = {187--194},
publisher = {{IEEE} Computer Society},
year = {2009},
url = {https://doi.org/10.1109/NCA.2009.30},
doi = {10.1109/NCA.2009.30},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/nca/XiongWD09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sersc-isa/ZhaoXZGZ09,
author = {Changan Zhao and
Dongqing Xie and
Fangguo Zhang and
Chong{-}zhi Gao and
Jingwei Zhang},
editor = {Jong Hyuk Park and
Hsiao{-}Hwa Chen and
Mohammed Atiquzzaman and
Changhoon Lee and
Tai{-}Hoon Kim and
Sang{-}Soo Yeo},
title = {Improved Implementations of Cryptosystems Based on Tate Pairing},
booktitle = {Advances in Information Security and Assurance, Third International
Conference and Workshops, {ISA} 2009, Seoul, Korea, June 25-27, 2009.
Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5576},
pages = {145--151},
publisher = {Springer},
year = {2009},
url = {https://doi.org/10.1007/978-3-642-02617-1\_15},
doi = {10.1007/978-3-642-02617-1\_15},
timestamp = {Tue, 02 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/sersc-isa/ZhaoXZGZ09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/AreneLNR09,
author = {Christophe Arene and
Tanja Lange and
Michael Naehrig and
Christophe Ritzenthaler},
title = {Faster Computation of the Tate Pairing},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {155},
year = {2009},
url = {http://eprint.iacr.org/2009/155},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/AreneLNR09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/BeuchatDEOR09,
author = {Jean{-}Luc Beuchat and
J{\'{e}}r{\'{e}}mie Detrey and
Nicolas Estibals and
Eiji Okamoto and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
title = {Hardware Accelerator for the Tate Pairing in Characteristic Three
Based on Karatsuba-Ofman Multipliers},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {122},
year = {2009},
url = {http://eprint.iacr.org/2009/122},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/BeuchatDEOR09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/BeuchatLMMR09,
author = {Jean{-}Luc Beuchat and
Emmanuel L{\'{o}}pez{-}Trejo and
Luis Mart{\'{\i}}nez{-}Ramos and
Shigeo Mitsunari and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
title = {Multi-core Implementation of the Tate Pairing over Supersingular Elliptic
Curves},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {276},
year = {2009},
url = {http://eprint.iacr.org/2009/276},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/BeuchatLMMR09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/chinaf/ZhaoZH08,
author = {Changan Zhao and
Fangguo Zhang and
Jiwu Huang},
title = {Efficient Tate pairing computation using double-base chains},
journal = {Sci. China Ser. {F} Inf. Sci.},
volume = {51},
number = {8},
pages = {1096--1105},
year = {2008},
url = {https://doi.org/10.1007/s11432-008-0070-9},
doi = {10.1007/S11432-008-0070-9},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/chinaf/ZhaoZH08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieicet/KangP08,
author = {Bo Gyeong Kang and
Je Hong Park},
title = {Powered Tate Pairing Computation},
journal = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
volume = {91-A},
number = {1},
pages = {338--341},
year = {2008},
url = {https://doi.org/10.1093/ietfec/e91-a.1.338},
doi = {10.1093/IETFEC/E91-A.1.338},
timestamp = {Sat, 11 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/KangP08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijnsec/BertoniBFP08,
author = {Guido Marco Bertoni and
Luca Breveglieri and
Pasqualina Fragneto and
Gerardo Pelosi},
title = {Parallel Hardware Architectures for the Cryptographic Tate Pairing},
journal = {Int. J. Netw. Secur.},
volume = {7},
number = {1},
pages = {31--37},
year = {2008},
url = {http://ijns.jalaxy.com.tw/contents/ijns-v7-n1/ijns-2008-v7-n1-p31-37.pdf},
timestamp = {Mon, 04 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ijnsec/BertoniBFP08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsa/LiHSH08,
author = {Hao Li and
Jian Huang and
Philip H. Sweany and
Dijiang Huang},
title = {{FPGA} implementations of elliptic curve cryptography and Tate pairing
over a binary field},
journal = {J. Syst. Archit.},
volume = {54},
number = {12},
pages = {1077--1088},
year = {2008},
url = {https://doi.org/10.1016/j.sysarc.2008.04.012},
doi = {10.1016/J.SYSARC.2008.04.012},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsa/LiHSH08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/apccas/LiWZL08,
author = {Qingwei Li and
Zhongfeng Wang and
Xinmiao Zhang and
Xingcheng Liu},
title = {Efficient architecture for the Tate pairing in characteristic three},
booktitle = {{IEEE} Asia Pacific Conference on Circuits and Systems, {APCCAS} 2008,
Macao, China, November 30 2008 - December 3, 2008},
pages = {1111--1115},
publisher = {{IEEE}},
year = {2008},
url = {https://doi.org/10.1109/APCCAS.2008.4746219},
doi = {10.1109/APCCAS.2008.4746219},
timestamp = {Mon, 24 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/apccas/LiWZL08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/csreaSAM/HuangLL08,
author = {Jian Huang and
Jooheung Lee and
Hao Li},
editor = {Hamid R. Arabnia and
Selim Aissi},
title = {A Fast {FPGA} Implementation of Tate Pairing in Cryptography over
Binary Field},
booktitle = {Proceedings of the 2008 International Conference on Security {\&}
Management, {SAM} 2008, Las Vegas, Nevada, USA, July 14-17, 2008},
pages = {3--9},
publisher = {{CSREA} Press},
year = {2008},
timestamp = {Mon, 09 Feb 2009 12:46:27 +0100},
biburl = {https://dblp.org/rec/conf/csreaSAM/HuangLL08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icait/ZhouLY08,
author = {Hong Zhou and
Xi Li and
Jie Yang},
title = {A secure identity-based threshold signature scheme from Tate pairings},
booktitle = {Proceedings of the 2008 International Conference on Advanced Infocomm
Technology, {ICAIT} 2008, Shenzhen, China, July 29-31, 2008},
pages = {100:1--100:5},
publisher = {{ACM}},
year = {2008},
url = {https://doi.org/10.1145/1509315.1509415},
doi = {10.1145/1509315.1509415},
timestamp = {Fri, 28 May 2021 17:16:12 +0200},
biburl = {https://dblp.org/rec/conf/icait/ZhouLY08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icons/KomurcuS08,
author = {Giray K{\"{o}}m{\"{u}}rc{\"{u}} and
Erkay Savas},
title = {An Efficient Hardware Implementation of the Tate Pairing in Characteristic
Three},
booktitle = {The Third International Conference on Systems, {ICONS} 2008, April
13-18, 2008, Cancun, Mexico},
pages = {23--28},
publisher = {{IEEE} Computer Society},
year = {2008},
url = {https://doi.org/10.1109/ICONS.2008.27},
doi = {10.1109/ICONS.2008.27},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/icons/KomurcuS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isecs/WuZXW08,
author = {Ting Wu and
Min Zhang and
Xiaoliang Xu and
Rongbo Wang},
editor = {Fei Yu and
Qi Luo and
Yongjun Chen and
Zhigang Chen},
title = {Improved Algorithm for Tate Pairing Computation},
booktitle = {Proceedings of The International Symposium on Electronic Commerce
and Security, {ISECS} 2008, August 3-5, 2008, Guangzhou, China},
pages = {41--45},
publisher = {{IEEE} Computer Society},
year = {2008},
url = {https://doi.org/10.1109/ISECS.2008.34},
doi = {10.1109/ISECS.2008.34},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/isecs/WuZXW08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/itng/BarenghiBBP08,
author = {Alessandro Barenghi and
Guido Bertoni and
Luca Breveglieri and
Gerardo Pelosi},
editor = {Shahram Latifi},
title = {A {FPGA} Coprocessor for the Cryptographic Tate Pairing over Fp},
booktitle = {Fifth International Conference on Information Technology: New Generations
{(ITNG} 2008), 7-8 April 2008, Las Vegas, Nevada, {USA}},
pages = {112--119},
publisher = {{IEEE} Computer Society},
year = {2008},
url = {https://doi.org/10.1109/ITNG.2008.260},
doi = {10.1109/ITNG.2008.260},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/itng/BarenghiBBP08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pairing/BeuchatBDOR08,
author = {Jean{-}Luc Beuchat and
Nicolas Brisebarre and
J{\'{e}}r{\'{e}}mie Detrey and
Eiji Okamoto and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
editor = {Steven D. Galbraith and
Kenneth G. Paterson},
title = {A Comparison between Hardware Accelerators for the Modified Tate Pairing
over F\({}_{\mbox{2\({}^{\mbox{m}}\)}}\) and F\({}_{\mbox{3\({}^{\mbox{m}}\)}}\)},
booktitle = {Pairing-Based Cryptography - Pairing 2008, Second International Conference,
Egham, UK, September 1-3, 2008. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5209},
pages = {297--315},
publisher = {Springer},
year = {2008},
url = {https://doi.org/10.1007/978-3-540-85538-5\_20},
doi = {10.1007/978-3-540-85538-5\_20},
timestamp = {Sun, 25 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/pairing/BeuchatBDOR08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pairing/EisentragerJL08,
author = {Kirsten Eisentr{\"{a}}ger and
Dimitar Jetchev and
Kristin E. Lauter},
editor = {Steven D. Galbraith and
Kenneth G. Paterson},
title = {Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate
Group},
booktitle = {Pairing-Based Cryptography - Pairing 2008, Second International Conference,
Egham, UK, September 1-3, 2008. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {5209},
pages = {113--125},
publisher = {Springer},
year = {2008},
url = {https://doi.org/10.1007/978-3-540-85538-5\_8},
doi = {10.1007/978-3-540-85538-5\_8},
timestamp = {Mon, 22 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/pairing/EisentragerJL08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/BeuchatBDOR08,
author = {Jean{-}Luc Beuchat and
Nicolas Brisebarre and
J{\'{e}}r{\'{e}}mie Detrey and
Eiji Okamoto and
Francisco Rodr{\'{\i}}guez{-}Henr{\'{\i}}quez},
title = {A Comparison Between Hardware Accelerators for the Modified Tate Pairing
over F\({}_{\mbox{2\({}^{\mbox{m}}\)}}\) and F\({}_{\mbox{3\({}^{\mbox{m}}\)}}\)},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {115},
year = {2008},
url = {http://eprint.iacr.org/2008/115},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/BeuchatBDOR08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cee/KellerRMM07,
author = {Maurice Keller and
Robert Ronan and
William P. Marnane and
Colin C. Murphy},
title = {Hardware architectures for the Tate pairing over GF(2\({}^{\mbox{m}}\))},
journal = {Comput. Electr. Eng.},
volume = {33},
number = {5-6},
pages = {392--406},
year = {2007},
url = {https://doi.org/10.1016/j.compeleceng.2007.05.002},
doi = {10.1016/J.COMPELECENG.2007.05.002},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cee/KellerRMM07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsa/RonanOMSK07,
author = {Robert Ronan and
Colm O'hEigeartaigh and
Colin C. Murphy and
Michael Scott and
Tim Kerins},
title = {Hardware acceleration of the Tate pairing on a genus 2 hyperelliptic
curve},
journal = {J. Syst. Archit.},
volume = {53},
number = {2-3},
pages = {85--98},
year = {2007},
url = {https://doi.org/10.1016/j.sysarc.2006.09.003},
doi = {10.1016/J.SYSARC.2006.09.003},
timestamp = {Tue, 19 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jsa/RonanOMSK07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fdtc/OzturkGS07,
author = {Erdin{\c{c}} {\"{O}}zt{\"{u}}rk and
Gunnar Gaubatz and
Berk Sunar},
editor = {Luca Breveglieri and
Shay Gueron and
Israel Koren and
David Naccache and
Jean{-}Pierre Seifert},
title = {Tate Pairing with Strong Fault Resiliency},
booktitle = {Fourth International Workshop on Fault Diagnosis and Tolerance in
Cryptography, 2007, {FDTC} 2007: Vienna, Austria, 10 September 2007},
pages = {103--111},
publisher = {{IEEE} Computer Society},
year = {2007},
url = {https://doi.org/10.1109/FDTC.2007.4318990},
doi = {10.1109/FDTC.2007.4318990},
timestamp = {Wed, 16 Oct 2019 14:14:49 +0200},
biburl = {https://dblp.org/rec/conf/fdtc/OzturkGS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nca/OliveiraAMDLD07,
author = {Leonardo B. Oliveira and
Diego F. Aranha and
Eduardo Morais and
Felipe Daguano and
Julio C{\'{e}}sar L{\'{o}}pez{-}Hern{\'{a}}ndez and
Ricardo Dahab},
title = {TinyTate: Computing the Tate Pairing in Resource-Constrained Sensor
Nodes},
booktitle = {Sixth {IEEE} International Symposium on Network Computing and Applications
{(NCA} 2007), 12 - 14 July 2007, Cambridge, MA, {USA}},
pages = {318--323},
publisher = {{IEEE} Computer Society},
year = {2007},
url = {https://doi.org/10.1109/NCA.2007.48},
doi = {10.1109/NCA.2007.48},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/nca/OliveiraAMDLD07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pairing/Stange07,
author = {Katherine E. Stange},
editor = {Tsuyoshi Takagi and
Tatsuaki Okamoto and
Eiji Okamoto and
Takeshi Okamoto},
title = {The Tate Pairing Via Elliptic Nets},
booktitle = {Pairing-Based Cryptography - Pairing 2007, First International Conference,
Tokyo, Japan, July 2-4, 2007, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4575},
pages = {329--348},
publisher = {Springer},
year = {2007},
url = {https://doi.org/10.1007/978-3-540-73489-5\_19},
doi = {10.1007/978-3-540-73489-5\_19},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/pairing/Stange07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/tamc/FengW07,
author = {Rongquan Feng and
Hongfeng Wu},
editor = {Jin{-}yi Cai and
S. Barry Cooper and
Hong Zhu},
title = {Encapsulated Scalar Multiplications and Line Functions in the Computation
of Tate Pairing},
booktitle = {Theory and Applications of Models of Computation, 4th International
Conference, {TAMC} 2007, Shanghai, China, May 22-25, 2007, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4484},
pages = {159--170},
publisher = {Springer},
year = {2007},
url = {https://doi.org/10.1007/978-3-540-72504-6\_14},
doi = {10.1007/978-3-540-72504-6\_14},
timestamp = {Mon, 04 May 2020 13:17:48 +0200},
biburl = {https://dblp.org/rec/conf/tamc/FengW07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieicet/KobayashiAI06,
author = {Tetsutaro Kobayashi and
Kazumaro Aoki and
Hideki Imai},
title = {Efficient Algorithms for Tate Pairing},
journal = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
volume = {89-A},
number = {1},
pages = {134--143},
year = {2006},
url = {https://doi.org/10.1093/ietfec/e89-a.1.134},
doi = {10.1093/IETFEC/E89-A.1.134},
timestamp = {Sat, 11 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/KobayashiAI06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jal/BlakeMX06,
author = {Ian F. Blake and
V. Kumar Murty and
Guangwu Xu},
title = {Refinements of Miller's algorithm for computing the Weil/Tate pairing},
journal = {J. Algorithms},
volume = {58},
number = {2},
pages = {134--149},
year = {2006},
url = {https://doi.org/10.1016/j.jalgor.2005.01.009},
doi = {10.1016/J.JALGOR.2005.01.009},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jal/BlakeMX06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ants/FreyL06,
author = {Gerhard Frey and
Tanja Lange},
editor = {Florian Hess and
Sebastian Pauli and
Michael E. Pohst},
title = {Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic
Curves},
booktitle = {Algorithmic Number Theory, 7th International Symposium, ANTS-VII,
Berlin, Germany, July 23-28, 2006, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4076},
pages = {466--479},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11792086\_33},
doi = {10.1007/11792086\_33},
timestamp = {Tue, 14 May 2019 10:00:53 +0200},
biburl = {https://dblp.org/rec/conf/ants/FreyL06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arc/KellerKCM06,
author = {Maurice Keller and
Tim Kerins and
Francis M. Crowe and
William P. Marnane},
editor = {Koen Bertels and
Jo{\~{a}}o M. P. Cardoso and
Stamatis Vassiliadis},
title = {{FPGA} Implementation of a \emph{GF}(2\({}^{\mbox{\emph{m}}}\)) Tate
Pairing Architecture},
booktitle = {Reconfigurable Computing: Architectures and Applications, Second International
Workshop, {ARC} 2006, Delft, The Netherlands, March 1-3, 2006, Revised
Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {3985},
pages = {358--369},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/11802839\_44},
doi = {10.1007/11802839\_44},
timestamp = {Tue, 14 May 2019 10:00:49 +0200},
biburl = {https://dblp.org/rec/conf/arc/KellerKCM06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cis/KawaharaTO06,
author = {Yuto Kawahara and
Tsuyoshi Takagi and
Eiji Okamoto},
editor = {Yuping Wang and
Yiu{-}ming Cheung and
Hai{-}Lin Liu},
title = {Efficient Implementation of Tate Pairing on a Mobile Phone Using Java},
booktitle = {Computational Intelligence and Security, International Conference,
{CIS} 2006, Guangzhou, China, November 3-6, 2006, Revised Selected
Papers},
series = {Lecture Notes in Computer Science},
volume = {4456},
pages = {396--405},
publisher = {Springer},
year = {2006},
url = {https://doi.org/10.1007/978-3-540-74377-4\_42},
doi = {10.1007/978-3-540-74377-4\_42},
timestamp = {Tue, 19 Nov 2019 12:34:54 +0100},
biburl = {https://dblp.org/rec/conf/cis/KawaharaTO06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/date/BertoniBFPS06,
author = {Guido Bertoni and
Luca Breveglieri and
Pasqualina Fragneto and
Gerardo Pelosi and
Luigi Sportiello},
editor = {Georges G. E. Gielen},
title = {Software implementation of Tate pairing over GF(2\({}^{\mbox{m}}\))},
booktitle = {Proceedings of the Conference on Design, Automation and Test in Europe:
Designers' Forum, {DATE} 2006, Munich, Germany, March 6-10, 2006},
pages = {7--11},
publisher = {European Design and Automation Association, Leuven, Belgium},
year = {2006},
url = {https://doi.org/10.1109/DATE.2006.244156},
doi = {10.1109/DATE.2006.244156},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/date/BertoniBFPS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fpt/RonanOMSK06,
author = {Robert Ronan and
Colm O'hEigeartaigh and
Colin C. Murphy and
Michael Scott and
Tim Kerins},
editor = {George A. Constantinides and
Wai{-}Kei Mak and
Phaophak Sirisuk and
Theerayod Wiangtong},
title = {{FPGA} acceleration of the tate pairing in characteristic 2},
booktitle = {2006 {IEEE} International Conference on Field Programmable Technology,
{FPT} 2006, Bangkok, Thailand, December 13-15, 2006},
pages = {213--220},
publisher = {{IEEE}},
year = {2006},
url = {https://doi.org/10.1109/FPT.2006.270314},
doi = {10.1109/FPT.2006.270314},
timestamp = {Wed, 16 Oct 2019 14:14:52 +0200},
biburl = {https://dblp.org/rec/conf/fpt/RonanOMSK06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fpt/ShuKG06,
author = {Chang Shu and
Soonhak Kwon and
Kris Gaj},
editor = {George A. Constantinides and
Wai{-}Kei Mak and
Phaophak Sirisuk and
Theerayod Wiangtong},
title = {{FPGA} accelerated tate pairing based cryptosystems over binary fields},
booktitle = {2006 {IEEE} International Conference on Field Programmable Technology,
{FPT} 2006, Bangkok, Thailand, December 13-15, 2006},
pages = {173--180},
publisher = {{IEEE}},
year = {2006},
url = {https://doi.org/10.1109/FPT.2006.270309},
doi = {10.1109/FPT.2006.270309},
timestamp = {Wed, 24 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/fpt/ShuKG06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/itng/BertoniBFP06,
author = {Guido Bertoni and
Luca Breveglieri and
Pasqualina Fragneto and
Gerardo Pelosi},
title = {Parallel Hardware Architectures for the Cryptographic Tate Pairing},
booktitle = {Third International Conference on Information Technology: New Generations
{(ITNG} 2006), 10-12 April 2006, Las Vegas, Nevada, {USA}},
pages = {186--191},
publisher = {{IEEE} Computer Society},
year = {2006},
url = {https://doi.org/10.1109/ITNG.2006.107},
doi = {10.1109/ITNG.2006.107},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/itng/BertoniBFP06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/reconfig/KellerRMM06,
author = {Maurice Keller and
Robert Ronan and
William P. Marnane and
Colin C. Murphy},
editor = {Ren{\'{e}} Cumplido{-}Parra and
C{\'{e}}sar Torres{-}Huitzil and
Andr{\'{e}}s D. Garc{\'{\i}}a},
title = {A GF(2\({}^{\mbox{4m}}\)) Inverter and its Application in a Reconfigurable
Tate Pairing Processor},
booktitle = {2006 {IEEE} International Conference on Reconfigurable Computing and
FPGA's, ReConFig 2006, San Luis Potosi, Mexico, September 20-22, 2006},
pages = {158--167},
publisher = {{IEEE} Computer Society},
year = {2006},
url = {https://doi.org/10.1109/RECONF.2006.307766},
doi = {10.1109/RECONF.2006.307766},
timestamp = {Thu, 23 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/reconfig/KellerRMM06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/HarasawaSK06,
author = {Ryuichi Harasawa and
Yutaka Sueyoshi and
Aichi Kudo},
title = {Tate pairing for y\({}^{\mbox{2}}\)=x\({}^{\mbox{5}}\)-{\(\alpha\)}x
in Characteristic Five},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {114},
year = {2006},
url = {http://eprint.iacr.org/2006/114},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/HarasawaSK06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/KawaharaTO06,
author = {Yuto Kawahara and
Tsuyoshi Takagi and
Eiji Okamoto},
title = {Efficient Implementation of Tate Pairing on a Mobile Phone using Java},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {299},
year = {2006},
url = {http://eprint.iacr.org/2006/299},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/KawaharaTO06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/LeeLL06,
author = {Eunjeong Lee and
Hyang{-}Sook Lee and
Yoonjin Lee},
title = {Fast computation of Tate pairing on general divisors of genus 3 hyperelliptic
curves},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {125},
year = {2006},
url = {http://eprint.iacr.org/2006/125},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/LeeLL06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/ShuKG06,
author = {Chang Shu and
Soonhak Kwon and
Kris Gaj},
title = {{FPGA} Accelerated Tate Pairing Based Cryptosystems over Binary Fields},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {179},
year = {2006},
url = {http://eprint.iacr.org/2006/179},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/ShuKG06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Stange06,
author = {Katherine E. Stange},
title = {The Tate Pairing via Elliptic Nets},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {392},
year = {2006},
url = {http://eprint.iacr.org/2006/392},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Stange06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/ZhaoZH06,
author = {Changan Zhao and
Fangguo Zhang and
Jiwu Huang},
title = {Efficient Tate Pairing Computation Using Double-Base Chains},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {201},
year = {2006},
url = {http://eprint.iacr.org/2006/201},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/ZhaoZH06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcst/HuDP05,
author = {Lei Hu and
Jun{-}Wu Dong and
Dingyi Pei},
title = {Implementation of Cryptosystems Based on Tate Pairing},
journal = {J. Comput. Sci. Technol.},
volume = {20},
number = {2},
pages = {264--269},
year = {2005},
url = {https://doi.org/10.1007/s11390-005-0264-1},
doi = {10.1007/S11390-005-0264-1},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcst/HuDP05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acisp/Kwon05,
author = {Soonhak Kwon},
editor = {Colin Boyd and
Juan Manuel Gonz{\'{a}}lez Nieto},
title = {Efficient Tate Pairing Computation for Elliptic Curves over Binary
Fields},
booktitle = {Information Security and Privacy, 10th Australasian Conference, {ACISP}
2005, Brisbane, Australia, July 4-6, 2005, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3574},
pages = {134--145},
publisher = {Springer},
year = {2005},
url = {https://doi.org/10.1007/11506157\_12},
doi = {10.1007/11506157\_12},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/acisp/Kwon05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ches/GrabherP05,
author = {Philipp Grabher and
Dan Page},
editor = {Josyula R. Rao and
Berk Sunar},
title = {Hardware Acceleration of the Tate Pairing in Characteristic Three},
booktitle = {Cryptographic Hardware and Embedded Systems - {CHES} 2005, 7th International
Workshop, Edinburgh, UK, August 29 - September 1, 2005, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3659},
pages = {398--411},
publisher = {Springer},
year = {2005},
url = {https://doi.org/10.1007/11545262\_29},
doi = {10.1007/11545262\_29},
timestamp = {Tue, 14 May 2019 10:00:47 +0200},
biburl = {https://dblp.org/rec/conf/ches/GrabherP05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ches/KerinsMPB05,
author = {Tim Kerins and
William P. Marnane and
Emanuel M. Popovici and
Paulo S. L. M. Barreto},
editor = {Josyula R. Rao and
Berk Sunar},
title = {Efficient Hardware for the Tate Pairing Calculation in Characteristic
Three},
booktitle = {Cryptographic Hardware and Embedded Systems - {CHES} 2005, 7th International
Workshop, Edinburgh, UK, August 29 - September 1, 2005, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3659},
pages = {412--426},
publisher = {Springer},
year = {2005},
url = {https://doi.org/10.1007/11545262\_30},
doi = {10.1007/11545262\_30},
timestamp = {Sun, 21 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/ches/KerinsMPB05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ctrsa/Scott05,
author = {Michael Scott},
editor = {Alfred Menezes},
title = {Computing the Tate Pairing},
booktitle = {Topics in Cryptology - {CT-RSA} 2005, The Cryptographers' Track at
the {RSA} Conference 2005, San Francisco, CA, USA, February 14-18,
2005, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3376},
pages = {293--304},
publisher = {Springer},
year = {2005},
url = {https://doi.org/10.1007/978-3-540-30574-3\_20},
doi = {10.1007/978-3-540-30574-3\_20},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/ctrsa/Scott05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/KangP05a,
author = {Bo Gyeong Kang and
Je Hong Park},
title = {Powered Tate Pairing Computation},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {260},
year = {2005},
url = {http://eprint.iacr.org/2005/260},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/KangP05a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/KerinsMPB05,
author = {Tim Kerins and
William P. Marnane and
Emanuel M. Popovici and
Paulo S. L. M. Barreto},
title = {Efficient hardware for the Tate pairing calculation in characteristic
three},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {65},
year = {2005},
url = {http://eprint.iacr.org/2005/065},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/KerinsMPB05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/LeeL05,
author = {Eunjeong Lee and
Yoonjin Lee},
title = {Tate pairing computation on the divisors of hyperelliptic curves for
cryptosystems},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {166},
year = {2005},
url = {http://eprint.iacr.org/2005/166},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/LeeL05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/WangL05,
author = {Kunpeng Wang and
Bao Li},
title = {Computation of Tate Pairing for Supersingular Curves over characteristic
5 and 7},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {374},
year = {2005},
url = {http://eprint.iacr.org/2005/374},
timestamp = {Thu, 08 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/WangL05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/ChoieKL05,
title = {Efficient Computation of the Tate Pairing on Hyperelliptic Curves
for Cryptosystems},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {167},
year = {2005},
note = {Withdrawn.},
url = {http://eprint.iacr.org/2005/167},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/ChoieKL05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ants/EisentragerLM04,
author = {Kirsten Eisentr{\"{a}}ger and
Kristin E. Lauter and
Peter L. Montgomery},
editor = {Duncan A. Buell},
title = {Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves},
booktitle = {Algorithmic Number Theory, 6th International Symposium, ANTS-VI, Burlington,
VT, USA, June 13-18, 2004, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3076},
pages = {169--183},
publisher = {Springer},
year = {2004},
url = {https://doi.org/10.1007/978-3-540-24847-7\_12},
doi = {10.1007/978-3-540-24847-7\_12},
timestamp = {Tue, 14 May 2019 10:00:53 +0200},
biburl = {https://dblp.org/rec/conf/ants/EisentragerLM04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fpl/ItoSO04,
author = {Takehiro Ito and
Yuichiro Shibata and
Kiyoshi Oguri},
editor = {J{\"{u}}rgen Becker and
Marco Platzner and
Serge Vernalde},
title = {Implementation of the Extended Euclidean Algorithm for the Tate Pairing
on {FPGA}},
booktitle = {Field Programmable Logic and Application, 14th International Conference
, {FPL} 2004, Leuven, Belgium, August 30-September 1, 2004, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {3203},
pages = {911--916},
publisher = {Springer},
year = {2004},
url = {https://doi.org/10.1007/978-3-540-30117-2\_98},
doi = {10.1007/978-3-540-30117-2\_98},
timestamp = {Fri, 19 Jul 2019 13:02:47 +0200},
biburl = {https://dblp.org/rec/conf/fpl/ItoSO04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icisc/ChatterjeeSB04,
author = {Sanjit Chatterjee and
Palash Sarkar and
Rana Barua},
editor = {Choonsik Park and
Seongtaek Chee},
title = {Efficient Computation of Tate Pairing in Projective Coordinate over
General Characteristic Fields},
booktitle = {Information Security and Cryptology - {ICISC} 2004, 7th International
Conference, Seoul, Korea, December 2-3, 2004, Revised Selected Papers},
series = {Lecture Notes in Computer Science},
volume = {3506},
pages = {168--181},
publisher = {Springer},
year = {2004},
url = {https://doi.org/10.1007/11496618\_13},
doi = {10.1007/11496618\_13},
timestamp = {Tue, 14 May 2019 10:00:36 +0200},
biburl = {https://dblp.org/rec/conf/icisc/ChatterjeeSB04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/BlakeMX04,
author = {Ian F. Blake and
V. Kumar Murty and
Guangwu Xu},
title = {Refinements of Miller's Algorithm for Computing Weil/Tate Pairing},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {65},
year = {2004},
url = {http://eprint.iacr.org/2004/065},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/BlakeMX04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Kwon04,
author = {Soonhak Kwon},
title = {Efficient Tate Pairing Computation for Supersingular Elliptic Curves
over Binary Fields},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {303},
year = {2004},
url = {http://eprint.iacr.org/2004/303},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Kwon04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/asiacrypt/DuursmaL03,
author = {Iwan M. Duursma and
Hyang{-}Sook Lee},
editor = {Chi{-}Sung Laih},
title = {Tate Pairing Implementation for Hyperelliptic Curves y\({}^{\mbox{2}}\)
= x\({}^{\mbox{p}}\)-x + d},
booktitle = {Advances in Cryptology - {ASIACRYPT} 2003, 9th International Conference
on the Theory and Application of Cryptology and Information Security,
Taipei, Taiwan, November 30 - December 4, 2003, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {2894},
pages = {111--123},
publisher = {Springer},
year = {2003},
url = {https://doi.org/10.1007/978-3-540-40061-5\_7},
doi = {10.1007/978-3-540-40061-5\_7},
timestamp = {Tue, 14 May 2019 10:00:40 +0200},
biburl = {https://dblp.org/rec/conf/asiacrypt/DuursmaL03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icisc/ChoieL03,
author = {YoungJu Choie and
Eunjeong Lee},
editor = {Jong In Lim and
Dong Hoon Lee},
title = {Implementation of Tate Pairing on Hyperelliptic Curves of Genus 2},
booktitle = {Information Security and Cryptology - {ICISC} 2003, 6th International
Conference, Seoul, Korea, November 27-28, 2003, Revised Papers},
series = {Lecture Notes in Computer Science},
volume = {2971},
pages = {97--111},
publisher = {Springer},
year = {2003},
url = {https://doi.org/10.1007/978-3-540-24691-6\_9},
doi = {10.1007/978-3-540-24691-6\_9},
timestamp = {Thu, 17 Nov 2022 14:05:51 +0100},
biburl = {https://dblp.org/rec/conf/icisc/ChoieL03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/DuursmaL03,
author = {Iwan M. Duursma and
Hyang{-}Sook Lee},
title = {Tate-pairing implementations for tripartite key agreement},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {53},
year = {2003},
url = {http://eprint.iacr.org/2003/053},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/DuursmaL03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/EisentragerLM03,
author = {Kirsten Eisentr{\"{a}}ger and
Kristin E. Lauter and
Peter L. Montgomery},
title = {Improved Weil and Tate pairings for elliptic and hyperelliptic curves},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {242},
year = {2003},
url = {http://eprint.iacr.org/2003/242},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/EisentragerLM03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ants/GalbraithHS02,
author = {Steven D. Galbraith and
Keith Harrison and
David Soldera},
editor = {Claus Fieker and
David R. Kohel},
title = {Implementing the Tate Pairing},
booktitle = {Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney,
Australia, July 7-12, 2002, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {2369},
pages = {324--337},
publisher = {Springer},
year = {2002},
url = {https://doi.org/10.1007/3-540-45455-1\_26},
doi = {10.1007/3-540-45455-1\_26},
timestamp = {Sun, 02 Jun 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/ants/GalbraithHS02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ants/Joux02,
author = {Antoine Joux},
editor = {Claus Fieker and
David R. Kohel},
title = {The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems},
booktitle = {Algorithmic Number Theory, 5th International Symposium, ANTS-V, Sydney,
Australia, July 7-12, 2002, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {2369},
pages = {20--32},
publisher = {Springer},
year = {2002},
url = {https://doi.org/10.1007/3-540-45455-1\_3},
doi = {10.1007/3-540-45455-1\_3},
timestamp = {Fri, 26 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/ants/Joux02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icisc/IzuT02,
author = {Tetsuya Izu and
Tsuyoshi Takagi},
editor = {Pil Joong Lee and
Chae Hoon Lim},
title = {Efficient Computations of the Tate Pairingfor the Large {MOV} Degrees},
booktitle = {Information Security and Cryptology - {ICISC} 2002, 5th International
Conference Seoul, Korea, November 28-29, 2002, Revised Papers},
series = {Lecture Notes in Computer Science},
volume = {2587},
pages = {283--297},
publisher = {Springer},
year = {2002},
url = {https://doi.org/10.1007/3-540-36552-4\_20},
doi = {10.1007/3-540-36552-4\_20},
timestamp = {Tue, 14 May 2019 10:00:36 +0200},
biburl = {https://dblp.org/rec/conf/icisc/IzuT02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/FreyMR99,
author = {Gerhard Frey and
Michael M{\"{u}}ller and
Hans{-}Georg R{\"{u}}ck},
title = {The Tate pairing and the discrete logarithm applied to elliptic curve
cryptosystems},
journal = {{IEEE} Trans. Inf. Theory},
volume = {45},
number = {5},
pages = {1717--1719},
year = {1999},
url = {https://doi.org/10.1109/18.771254},
doi = {10.1109/18.771254},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tit/FreyMR99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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