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@article{DBLP:journals/chinaf/XuLXFZ19,
  author       = {Hengzhou Xu and
                  Huaan Li and
                  Mengmeng Xu and
                  Dan Feng and
                  Hai Zhu},
  title        = {Two classes of {QC-LDPC} cycle codes approaching Gallager lower bound},
  journal      = {Sci. China Inf. Sci.},
  volume       = {62},
  number       = {10},
  pages        = {209305:1--209305:3},
  year         = {2019},
  url          = {https://doi.org/10.1007/s11432-018-9778-x},
  doi          = {10.1007/S11432-018-9778-X},
  timestamp    = {Fri, 25 Mar 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/chinaf/XuLXFZ19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/phycomm/PGP19,
  author       = {Aswathy G. P. and
                  K. Gopakumar and
                  Imthias Ahamed T. P.},
  title        = {Parallel concatenated Gallager codes for reliable data transmission
                  in cognitive radio networks},
  journal      = {Phys. Commun.},
  volume       = {37},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.phycom.2019.100831},
  doi          = {10.1016/J.PHYCOM.2019.100831},
  timestamp    = {Sat, 22 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/phycomm/PGP19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/wcsp/ZhagMYZS19,
  author       = {Chong Zhag and
                  Xijin Mu and
                  Jinhong Yuan and
                  Yiqing Zhou and
                  Jinglin Shi},
  title        = {The Performance of Coded Modulation with Gallager Mapping in the Finite
                  Length Regime},
  booktitle    = {11th International Conference on Wireless Communications and Signal
                  Processing, {WCSP} 2019, Xi'an, China, October 23-25, 2019},
  pages        = {1--6},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/WCSP.2019.8927997},
  doi          = {10.1109/WCSP.2019.8927997},
  timestamp    = {Wed, 27 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/wcsp/ZhagMYZS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isita/HirotomoTM18,
  author       = {Masanori Hirotomo and
                  Hiroto Tamiya and
                  Masakatu Morii},
  title        = {Further Results on the Error Correction Capability of Irregular {LDPC}
                  Codes under the Gallager {A} Algorithm},
  booktitle    = {International Symposium on Information Theory and Its Applications,
                  {ISITA} 2018, Singapore, October 28-31, 2018},
  pages        = {203--207},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.23919/ISITA.2018.8664386},
  doi          = {10.23919/ISITA.2018.8664386},
  timestamp    = {Wed, 11 Aug 2021 11:51:25 +0200},
  biburl       = {https://dblp.org/rec/conf/isita/HirotomoTM18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isita/MoriiTH16,
  author       = {Masakatu Morii and
                  Hiroto Tamiya and
                  Masanori Hirotomo},
  title        = {Error correction capability of irregular {LDPC} codes under the Gallager
                  a algorithm},
  booktitle    = {2016 International Symposium on Information Theory and Its Applications,
                  {ISITA} 2016, Monterey, CA, USA, October 30 - November 2, 2016},
  pages        = {586--590},
  publisher    = {{IEEE}},
  year         = {2016},
  url          = {https://ieeexplore.ieee.org/document/7840492/},
  timestamp    = {Wed, 11 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/isita/MoriiTH16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hmwc/FengLBM15,
  author       = {Dan Feng and
                  Qi Li and
                  Baoming Bai and
                  Xiao Ma},
  title        = {Gallager mapping based constellation shaping for LDPC-coded modulation
                  systems},
  booktitle    = {International Workshop on High Mobility Wireless Communications, {HMWC}
                  2015, Xi'an, China, October 21-23, 2015},
  pages        = {116--120},
  publisher    = {{IEEE}},
  year         = {2015},
  url          = {https://doi.org/10.1109/HMWC.2015.7354347},
  doi          = {10.1109/HMWC.2015.7354347},
  timestamp    = {Wed, 16 Oct 2019 14:14:53 +0200},
  biburl       = {https://dblp.org/rec/conf/hmwc/FengLBM15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Pretti14,
  author       = {Marco Pretti},
  title        = {Lowering the error floor of Gallager codes: a statistical-mechanical
                  view},
  journal      = {CoRR},
  volume       = {abs/1407.0521},
  year         = {2014},
  url          = {http://arxiv.org/abs/1407.0521},
  eprinttype    = {arXiv},
  eprint       = {1407.0521},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/Pretti14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/crc/13/BlakeH13a,
  author       = {Ian F. Blake and
                  W. Cary Huffman},
  editor       = {Gary L. Mullen and
                  Daniel Panario},
  title        = {{LDPC} and Gallager codes over finite fields},
  booktitle    = {Handbook of Finite Fields},
  series       = {Discrete mathematics and its applications},
  pages        = {713--726},
  publisher    = {{CRC} Press},
  year         = {2013},
  timestamp    = {Mon, 08 Jun 2020 15:38:06 +0200},
  biburl       = {https://dblp.org/rec/books/crc/13/BlakeH13a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/icl/YazdiHD12,
  author       = {S. M. Sadegh Tabatabaei Yazdi and
                  Chu{-}Hsiang Huang and
                  Lara Dolecek},
  title        = {Optimal Design of a Gallager {B} Noisy Decoder for Irregular {LDPC}
                  Codes},
  journal      = {{IEEE} Commun. Lett.},
  volume       = {16},
  number       = {12},
  pages        = {2052--2055},
  year         = {2012},
  url          = {https://doi.org/10.1109/LCOMM.2012.101712.121953},
  doi          = {10.1109/LCOMM.2012.101712.121953},
  timestamp    = {Thu, 20 Aug 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/icl/YazdiHD12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1202-0592,
  author       = {Xiao Ma and
                  Jia Liu and
                  Baoming Bai},
  title        = {On Parameterized Gallager's First Bounds for Binary Linear Codes over
                  {AWGN} Channels},
  journal      = {CoRR},
  volume       = {abs/1202.0592},
  year         = {2012},
  url          = {http://arxiv.org/abs/1202.0592},
  eprinttype    = {arXiv},
  eprint       = {1202.0592},
  timestamp    = {Mon, 09 Sep 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1202-0592.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/ChilappagariNVM10a,
  author       = {Shashi Kiran Chilappagari and
                  Dung Viet Nguyen and
                  Bane Vasic and
                  Michael W. Marcellin},
  title        = {Error correction capability of column-weight-three {LDPC} codes under
                  the Gallager {A} algorithm-Part {II}},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {56},
  number       = {6},
  pages        = {2626--2639},
  year         = {2010},
  url          = {https://doi.org/10.1109/TIT.2010.2046203},
  doi          = {10.1109/TIT.2010.2046203},
  timestamp    = {Mon, 17 Jul 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tit/ChilappagariNVM10a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dcc/WuY10,
  author       = {Feng Wu and
                  Peiwen Yu},
  editor       = {James A. Storer and
                  Michael W. Marcellin},
  title        = {Theoretically Optimal Low-Density Parity-Check Code Ensemble for Gallager's
                  Decoding Algorithm {A}},
  booktitle    = {2010 Data Compression Conference {(DCC} 2010), 24-26 March 2010, Snowbird,
                  UT, {USA}},
  pages        = {558},
  publisher    = {{IEEE} Computer Society},
  year         = {2010},
  url          = {https://doi.org/10.1109/DCC.2010.84},
  doi          = {10.1109/DCC.2010.84},
  timestamp    = {Fri, 24 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/dcc/WuY10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/LingLK08,
  author       = {Cong Ling and
                  Kwok H. Li and
                  Alex ChiChung Kot},
  title        = {Performance of Space-Time Codes: Gallager Bounds and Weight Enumeration},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {54},
  number       = {8},
  pages        = {3592--3610},
  year         = {2008},
  url          = {https://doi.org/10.1109/TIT.2008.926383},
  doi          = {10.1109/TIT.2008.926383},
  timestamp    = {Fri, 27 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/LingLK08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/NakibogluG08,
  author       = {Baris Nakiboglu and
                  Robert G. Gallager},
  title        = {Error Exponents for Variable-Length Block Codes With Feedback and
                  Cost Constraints},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {54},
  number       = {3},
  pages        = {945--963},
  year         = {2008},
  url          = {https://doi.org/10.1109/TIT.2007.915913},
  doi          = {10.1109/TIT.2007.915913},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/NakibogluG08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icc/Tong08,
  author       = {Sheng Tong},
  title        = {Tangential Sphere Bounds on the Ensemble Performance of {ML} Decoded
                  Gallager Codes via Their Exact Ensemble Distance Spectrum},
  booktitle    = {Proceedings of {IEEE} International Conference on Communications,
                  {ICC} 2008, Beijing, China, 19-23 May 2008},
  pages        = {1150--1154},
  publisher    = {{IEEE}},
  year         = {2008},
  url          = {https://doi.org/10.1109/ICC.2008.224},
  doi          = {10.1109/ICC.2008.224},
  timestamp    = {Thu, 25 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/icc/Tong08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isit/MontanariM08,
  author       = {Andrea Montanari and
                  Elchanan Mossel},
  editor       = {Frank R. Kschischang and
                  En{-}Hui Yang},
  title        = {Smooth compression, Gallager bound and nonlinear sparse-graph codes},
  booktitle    = {2008 {IEEE} International Symposium on Information Theory, {ISIT}
                  2008, Toronto, ON, Canada, July 6-11, 2008},
  pages        = {2474--2478},
  publisher    = {{IEEE}},
  year         = {2008},
  url          = {https://doi.org/10.1109/ISIT.2008.4595436},
  doi          = {10.1109/ISIT.2008.4595436},
  timestamp    = {Wed, 16 Oct 2019 14:14:48 +0200},
  biburl       = {https://dblp.org/rec/conf/isit/MontanariM08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/itw/HofSS08,
  author       = {Eran Hof and
                  Igal Sason and
                  Shlomo Shamai},
  title        = {Gallager-type bounds for non-binary linear block codes over memoryless
                  symmetric channels},
  booktitle    = {2008 {IEEE} Information Theory Workshop, {ITW} 2008, Porto, Portugal,
                  May 5-9, 2008},
  pages        = {26--30},
  publisher    = {{IEEE}},
  year         = {2008},
  url          = {https://doi.org/10.1109/ITW.2008.4578615},
  doi          = {10.1109/ITW.2008.4578615},
  timestamp    = {Mon, 09 Aug 2021 14:54:02 +0200},
  biburl       = {https://dblp.org/rec/conf/itw/HofSS08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ett/Yousefi07,
  author       = {Shahram Yousefi},
  title        = {Information Theory Gallager bounds on the performance of maximum-likelihood
                  decoded linear binary block codes in {AWGN} interference},
  journal      = {Eur. Trans. Telecommun.},
  volume       = {18},
  number       = {1},
  pages        = {49--69},
  year         = {2007},
  url          = {https://doi.org/10.1002/ett.1092},
  doi          = {10.1002/ETT.1092},
  timestamp    = {Mon, 18 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ett/Yousefi07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/SasonG07,
  author       = {Igal Sason and
                  Idan Goldenberg},
  title        = {Coding for Parallel Channels: Gallager Bounds and Applications to
                  Turbo-Like Codes},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {53},
  number       = {7},
  pages        = {2394--2428},
  year         = {2007},
  url          = {https://doi.org/10.1109/TIT.2007.899543},
  doi          = {10.1109/TIT.2007.899543},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/SasonG07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pimrc/WangCXW07,
  author       = {Fang Wang and
                  Shixin Cheng and
                  Wei Xu and
                  Haifeng Wang},
  title        = {Design and Code Optimization of Parallel Concatenated Gallager Codes},
  booktitle    = {Proceedings of the {IEEE} 18th International Symposium on Personal,
                  Indoor and Mobile Radio Communications, {PIMRC} 2007, 3-7 September
                  2007, Athens, Greece},
  pages        = {1--5},
  publisher    = {{IEEE}},
  year         = {2007},
  url          = {https://doi.org/10.1109/PIMRC.2007.4394240},
  doi          = {10.1109/PIMRC.2007.4394240},
  timestamp    = {Fri, 18 Dec 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/pimrc/WangCXW07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieicet/FanucciCC06,
  author       = {Luca Fanucci and
                  Pasquale Ciao and
                  Giulio Colavolpe},
  title        = {{VLSI} Design of a Fully-Parallel High-Throughput Decoder for Turbo
                  Gallager Codes},
  journal      = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
  volume       = {89-A},
  number       = {7},
  pages        = {1976--1986},
  year         = {2006},
  url          = {https://doi.org/10.1093/ietfec/e89-a.7.1976},
  doi          = {10.1093/IETFEC/E89-A.7.1976},
  timestamp    = {Wed, 07 Dec 2022 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/ieicet/FanucciCC06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isit/NakibogluGW06,
  author       = {Baris Nakiboglu and
                  Robert G. Gallager and
                  Moe Z. Win},
  title        = {Error Exponents for Variable-length block codes with feedback and
                  cost constraints},
  booktitle    = {Proceedings 2006 {IEEE} International Symposium on Information Theory,
                  {ISIT} 2006, The Westin Seattle, Seattle, Washington, USA, July 9-14,
                  2006},
  pages        = {74--78},
  publisher    = {{IEEE}},
  year         = {2006},
  url          = {https://doi.org/10.1109/ISIT.2006.261677},
  doi          = {10.1109/ISIT.2006.261677},
  timestamp    = {Wed, 16 Oct 2019 14:14:48 +0200},
  biburl       = {https://dblp.org/rec/conf/isit/NakibogluGW06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-cs-0607002,
  author       = {Igal Sason and
                  Idan Goldenberg},
  title        = {Coding for Parallel Channels: Gallager Bounds for Binary Linear Codes
                  with Applications to Repeat-Accumulate Codes and Variations},
  journal      = {CoRR},
  volume       = {abs/cs/0607002},
  year         = {2006},
  url          = {http://arxiv.org/abs/cs/0607002},
  eprinttype    = {arXiv},
  eprint       = {cs/0607002},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-cs-0607002.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-cs-0609099,
  author       = {Igal Sason and
                  Idan Goldenberg},
  title        = {Coding for Parallel Channels: Gallager Bounds and Applications to
                  Repeat-Accumulate Codes},
  journal      = {CoRR},
  volume       = {abs/cs/0609099},
  year         = {2006},
  url          = {http://arxiv.org/abs/cs/0609099},
  eprinttype    = {arXiv},
  eprint       = {cs/0609099},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-cs-0609099.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-cs-0612097,
  author       = {Baris Nakiboglu and
                  Robert G. Gallager},
  title        = {Error Exponents for Variable-length Block Codes with Feedback and
                  Cost Constraints},
  journal      = {CoRR},
  volume       = {abs/cs/0612097},
  year         = {2006},
  url          = {http://arxiv.org/abs/cs/0612097},
  eprinttype    = {arXiv},
  eprint       = {cs/0612097},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-cs-0612097.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/icl/TongW05,
  author       = {Sheng Tong and
                  Xinmei Wang},
  title        = {A simple convergence comparison of Gallager codes under two message-passing
                  schedules},
  journal      = {{IEEE} Commun. Lett.},
  volume       = {9},
  number       = {3},
  pages        = {249--251},
  year         = {2005},
  url          = {https://doi.org/10.1109/LCOMM.2005.03012},
  doi          = {10.1109/LCOMM.2005.03012},
  timestamp    = {Thu, 20 Aug 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/icl/TongW05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/Wadayama05,
  author       = {Tadashi Wadayama},
  title        = {Average coset weight distributions of Gallager's {LDPC} code ensemble},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {51},
  number       = {7},
  pages        = {2715--2721},
  year         = {2005},
  url          = {https://doi.org/10.1109/TIT.2005.850144},
  doi          = {10.1109/TIT.2005.850144},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/Wadayama05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isit/0001ASK05,
  author       = {Wei Yu and
                  Masoud Ardakani and
                  Benjamin P. Smith and
                  Frank R. Kschischang},
  title        = {Complexity-optimized low-density parity-check codes for gallager decoding
                  algorithm {B}},
  booktitle    = {Proceedings of the 2005 {IEEE} International Symposium on Information
                  Theory, {ISIT} 2005, Adelaide, South Australia, Australia, 4-9 September
                  2005},
  pages        = {1488--1492},
  publisher    = {{IEEE}},
  year         = {2005},
  url          = {https://doi.org/10.1109/ISIT.2005.1523591},
  doi          = {10.1109/ISIT.2005.1523591},
  timestamp    = {Wed, 16 Oct 2019 14:14:48 +0200},
  biburl       = {https://dblp.org/rec/conf/isit/0001ASK05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/isit/MartinezFC05,
  author       = {Alfonso Martinez and
                  Albert Guill{\'{e}}n i F{\`{a}}bregas and
                  Giuseppe Caire},
  title        = {Gallager bounds for linear codes in binary-input output-symmetric
                  memoryless channels},
  booktitle    = {Proceedings of the 2005 {IEEE} International Symposium on Information
                  Theory, {ISIT} 2005, Adelaide, South Australia, Australia, 4-9 September
                  2005},
  pages        = {800--804},
  publisher    = {{IEEE}},
  year         = {2005},
  url          = {https://doi.org/10.1109/ISIT.2005.1523447},
  doi          = {10.1109/ISIT.2005.1523447},
  timestamp    = {Fri, 15 Feb 2019 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/isit/MartinezFC05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/Colavolpe04,
  author       = {Giulio Colavolpe},
  title        = {Design and performance of turbo Gallager codes},
  journal      = {{IEEE} Trans. Commun.},
  volume       = {52},
  number       = {11},
  pages        = {1901--1908},
  year         = {2004},
  url          = {https://doi.org/10.1109/TCOMM.2004.836566},
  doi          = {10.1109/TCOMM.2004.836566},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tcom/Colavolpe04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/BazziRU04,
  author       = {Louay Bazzi and
                  Thomas J. Richardson and
                  R{\"{u}}diger L. Urbanke},
  title        = {Exact Thresholds and Optimal Codes for the Binary-Symmetric Channel
                  and Gallager's Decoding Algorithm {A}},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {50},
  number       = {9},
  pages        = {2010--2021},
  year         = {2004},
  url          = {https://doi.org/10.1109/TIT.2004.833352},
  doi          = {10.1109/TIT.2004.833352},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/BazziRU04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/TangXKLA04,
  author       = {Heng Tang and
                  Jun Xu and
                  Yu Kou and
                  Shu Lin and
                  Khaled A. S. Abdel{-}Ghaffar},
  title        = {On Algebraic Construction of Gallager and Circulant Low-Density Parity-Check
                  Codes},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {50},
  number       = {6},
  pages        = {1269--1279},
  year         = {2004},
  url          = {https://doi.org/10.1109/TIT.2004.828088},
  doi          = {10.1109/TIT.2004.828088},
  timestamp    = {Thu, 10 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tit/TangXKLA04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dsd/CiaoCF04,
  author       = {Pasquale Ciao and
                  Giulio Colavolpe and
                  Luca Fanucci},
  title        = {A Parallel {VLSI} Architecture for 1-Gb/s, 2048-b, Rate-1/2 Turbo
                  Gallager Code Decoder},
  booktitle    = {2004 Euromicro Symposium on Digital Systems Design {(DSD} 2004), Architectures,
                  Methods and Tools, 31 August - 3 September 2004, Rennes, France},
  pages        = {174--181},
  publisher    = {{IEEE} Computer Society},
  year         = {2004},
  url          = {https://doi.org/10.1109/DSD.2004.1333274},
  doi          = {10.1109/DSD.2004.1333274},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/dsd/CiaoCF04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cm/RichardsonU03,
  author       = {Tom Richardson and
                  R{\"{u}}diger L. Urbanke},
  title        = {The renaissance of Gallager's low-density parity-check codes},
  journal      = {{IEEE} Commun. Mag.},
  volume       = {41},
  number       = {8},
  pages        = {126--131},
  year         = {2003},
  url          = {https://doi.org/10.1109/MCOM.2003.1222728},
  doi          = {10.1109/MCOM.2003.1222728},
  timestamp    = {Tue, 25 Aug 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cm/RichardsonU03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/KavcicMM03,
  author       = {Aleksandar Kavcic and
                  Xiao Ma and
                  Michael Mitzenmacher},
  title        = {Binary intersymbol interference channels: Gallager codes, density
                  evolution, and code performance bounds},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {49},
  number       = {7},
  pages        = {1636--1652},
  year         = {2003},
  url          = {https://doi.org/10.1109/TIT.2003.813563},
  doi          = {10.1109/TIT.2003.813563},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/KavcicMM03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iscas/PerenzoniGN03,
  author       = {Matteo Perenzoni and
                  Andrea Gerosa and
                  Andrea Neviani},
  title        = {Analog {CMOS} implementation of Gallager's iterative decoding algorithm
                  applied to a block turbo code},
  booktitle    = {Proceedings of the 2003 International Symposium on Circuits and Systems,
                  {ISCAS} 2003, Bangkok, Thailand, May 25-28, 2003},
  pages        = {813--816},
  publisher    = {{IEEE}},
  year         = {2003},
  url          = {https://doi.org/10.1109/ISCAS.2003.1206437},
  doi          = {10.1109/ISCAS.2003.1206437},
  timestamp    = {Wed, 16 Oct 2019 14:14:49 +0200},
  biburl       = {https://dblp.org/rec/conf/iscas/PerenzoniGN03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieiceta/Wadayama02,
  author       = {Tadashi Wadayama},
  title        = {An Extension of Gallager Ensemble of Low Density Parity Check Codes},
  journal      = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
  volume       = {85-A},
  number       = {5},
  pages        = {1161--1171},
  year         = {2002},
  url          = {http://search.ieice.org/bin/summary.php?id=e85-a\_5\_1161},
  timestamp    = {Wed, 09 Jun 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ieiceta/Wadayama02.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icc/BehairyC02,
  author       = {Hatim M. Behairy and
                  Shih{-}Chun Chang},
  title        = {On the design, simulation and analysis of parallel concatenated Gallager
                  codes},
  booktitle    = {{IEEE} International Conference on Communications, {ICC} 2002, April
                  28 - May 2, 2002, New York City, NY, {USA}},
  pages        = {1850--1854},
  publisher    = {{IEEE}},
  year         = {2002},
  url          = {https://doi.org/10.1109/ICC.2002.997168},
  doi          = {10.1109/ICC.2002.997168},
  timestamp    = {Wed, 16 Oct 2019 14:14:50 +0200},
  biburl       = {https://dblp.org/rec/conf/icc/BehairyC02.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pimrc/MannoniDG02,
  author       = {Val{\'{e}}rian Mannoni and
                  David Declercq and
                  Guillaume Gelle},
  title        = {Optimized irregular Gallager codes for {OFDM} transmission},
  booktitle    = {The 13th {IEEE} International Symposium on Personal, Indoor and Mobile
                  Radio Communications, Lisboa, Portugal, September 15-18, 2002},
  pages        = {222--226},
  publisher    = {{IEEE}},
  year         = {2002},
  url          = {https://doi.org/10.1109/PIMRC.2002.1046693},
  doi          = {10.1109/PIMRC.2002.1046693},
  timestamp    = {Wed, 16 Oct 2019 14:14:50 +0200},
  biburl       = {https://dblp.org/rec/conf/pimrc/MannoniDG02.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/globecom/BehairyC01,
  author       = {Hatim M. Behairy and
                  Shih{-}Chun Chang},
  title        = {Parallel concatenated Gallager codes for {CDMA} applications},
  booktitle    = {Proceedings of the Global Telecommunications Conference, 2001. {GLOBECOM}
                  '01, San Antonio, TX, USA, 25-29 November, 2001},
  pages        = {1002--1006},
  publisher    = {{IEEE}},
  year         = {2001},
  url          = {https://doi.org/10.1109/GLOCOM.2001.965568},
  doi          = {10.1109/GLOCOM.2001.965568},
  timestamp    = {Wed, 16 Oct 2019 14:14:51 +0200},
  biburl       = {https://dblp.org/rec/conf/globecom/BehairyC01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ima/MourikSK01,
  author       = {Jort van Mourik and
                  David Saad and
                  Yoshiyuki Kabashima},
  editor       = {Bahram Honary},
  title        = {Weight vs. Magnetization Enumerator for Gallager Codes},
  booktitle    = {Cryptography and Coding, 8th {IMA} International Conference, Cirencester,
                  UK, December 17-19, 2001, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {2260},
  pages        = {148--157},
  publisher    = {Springer},
  year         = {2001},
  url          = {https://doi.org/10.1007/3-540-45325-3\_14},
  doi          = {10.1007/3-540-45325-3\_14},
  timestamp    = {Wed, 18 Mar 2020 16:01:01 +0100},
  biburl       = {https://dblp.org/rec/conf/ima/MourikSK01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/TanakaIA01,
  author       = {Toshiyuki Tanaka and
                  Shiro Ikeda and
                  Shun{-}ichi Amari},
  editor       = {Thomas G. Dietterich and
                  Suzanna Becker and
                  Zoubin Ghahramani},
  title        = {Information-Geometrical Significance of Sparsity in Gallager Codes},
  booktitle    = {Advances in Neural Information Processing Systems 14 [Neural Information
                  Processing Systems: Natural and Synthetic, {NIPS} 2001, December 3-8,
                  2001, Vancouver, British Columbia, Canada]},
  pages        = {527--534},
  publisher    = {{MIT} Press},
  year         = {2001},
  url          = {https://proceedings.neurips.cc/paper/2001/hash/dc513ea4fbdaa7a14786ffdebc4ef64e-Abstract.html},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/TanakaIA01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/SorokineKP00,
  author       = {Vladislav Sorokine and
                  Frank R. Kschischang and
                  Subbarayan Pasupathy},
  title        = {Gallager codes for {CDMA} applications .I. Generalizations, constructions,
                  and performance bounds},
  journal      = {{IEEE} Trans. Commun.},
  volume       = {48},
  number       = {10},
  pages        = {1660--1668},
  year         = {2000},
  url          = {https://doi.org/10.1109/26.871391},
  doi          = {10.1109/26.871391},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tcom/SorokineKP00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/SorokineKP00a,
  author       = {Vladislav Sorokine and
                  Frank R. Kschischang and
                  Subbarayan Pasupathy},
  title        = {Gallager codes for {CDMA} applications. {II.} Implementations, complexity,
                  and system capacity},
  journal      = {{IEEE} Trans. Commun.},
  volume       = {48},
  number       = {11},
  pages        = {1818--1828},
  year         = {2000},
  url          = {https://doi.org/10.1109/26.886472},
  doi          = {10.1109/26.886472},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tcom/SorokineKP00a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcom/MacKayWD99,
  author       = {David J. C. MacKay and
                  Simon T. Wilson and
                  Matthew C. Davey},
  title        = {Comparison of constructions of irregular Gallager codes},
  journal      = {{IEEE} Trans. Commun.},
  volume       = {47},
  number       = {10},
  pages        = {1449--1454},
  year         = {1999},
  url          = {https://doi.org/10.1109/26.795809},
  doi          = {10.1109/26.795809},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tcom/MacKayWD99.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/nips/KabashimaMSV99,
  author       = {Yoshiyuki Kabashima and
                  Tatsuto Murayama and
                  David Saad and
                  Renato Vicente},
  editor       = {Sara A. Solla and
                  Todd K. Leen and
                  Klaus{-}Robert M{\"{u}}ller},
  title        = {Regular and Irregular Gallager-zype Error-Correcting Codes},
  booktitle    = {Advances in Neural Information Processing Systems 12, {[NIPS} Conference,
                  Denver, Colorado, USA, November 29 - December 4, 1999]},
  pages        = {272--278},
  publisher    = {The {MIT} Press},
  year         = {1999},
  url          = {http://papers.nips.cc/paper/1700-regular-and-irregular-gallager-zype-error-correcting-codes},
  timestamp    = {Mon, 16 May 2022 15:41:51 +0200},
  biburl       = {https://dblp.org/rec/conf/nips/KabashimaMSV99.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/SavariG97,
  author       = {Serap A. Savari and
                  Robert G. Gallager},
  title        = {Generalized Tunstall codes for sources with memory},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {43},
  number       = {2},
  pages        = {658--668},
  year         = {1997},
  url          = {https://doi.org/10.1109/18.556121},
  doi          = {10.1109/18.556121},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/SavariG97.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/GallagerV75,
  author       = {Robert G. Gallager and
                  David C. van Voorhis},
  title        = {Optimal source codes for geometrically distributed integer alphabets
                  (Corresp.)},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {21},
  number       = {2},
  pages        = {228--230},
  year         = {1975},
  url          = {https://doi.org/10.1109/TIT.1975.1055357},
  doi          = {10.1109/TIT.1975.1055357},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/GallagerV75.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/Gallager73,
  author       = {Robert G. Gallager},
  title        = {The random coding bound is tight for the average code (Corresp.)},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {19},
  number       = {2},
  pages        = {244--246},
  year         = {1973},
  url          = {https://doi.org/10.1109/TIT.1973.1054971},
  doi          = {10.1109/TIT.1973.1054971},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/Gallager73.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/Horstein64,
  author       = {Michael Horstein},
  title        = {Review of 'Low-Density Parity-Check Codes' (Gallager, R. G.; 1963)},
  journal      = {{IEEE} Trans. Inf. Theory},
  volume       = {10},
  number       = {2},
  pages        = {172},
  year         = {1964},
  url          = {https://doi.org/10.1109/TIT.1964.1053651},
  doi          = {10.1109/TIT.1964.1053651},
  timestamp    = {Tue, 10 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tit/Horstein64.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tit/Gallager62,
  author       = {Robert G. Gallager},
  title        = {Low-density parity-check codes},
  journal      = {{IRE} Trans. Inf. Theory},
  volume       = {8},
  number       = {1},
  pages        = {21--28},
  year         = {1962},
  url          = {https://doi.org/10.1109/TIT.1962.1057683},
  doi          = {10.1109/TIT.1962.1057683},
  timestamp    = {Mon, 18 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tit/Gallager62.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
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