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ORCIDSteven T. Dougherty
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- affiliation: University of Scranton, Department of Mathematics, Scranton, PA, USA
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2020 – today
- 2024
[j103]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun
:
Binary self-dual and LCD codes from generator matrices constructed from two group ring elements by a heuristic search scheme. Adv. Math. Commun. 18(4): 922-934 (2024)- [j102]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
DNA codes from skew dihedral group ring. Adv. Math. Commun. 18(4): 1138-1154 (2024) - [j101]Steven T. Dougherty, Serap Sahinkaya:
On cyclic and negacyclic codes with one-dimensional hulls and their applications. Adv. Math. Commun. 18(5): 1364-1378 (2024) - [j100]Steven T. Dougherty, Serap Sahinkaya:
Dualities over the cross product of the cyclic groups of order 2. Adv. Math. Commun. 18(5): 1531-1546 (2024) - [j99]Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts:
Codes over a ring of order 32 with two Gray maps. Finite Fields Their Appl. 95: 102384 (2024) - [j98]Steven T. Dougherty, Serap Sahinkaya, Deniz Ustun:
A novel method for image encryption using time signature-dependent s-boxes based on latin squares and the playfair system of cryptography. Multim. Tools Appl. 83(2): 4167-4194 (2024) - [j97]Steven T. Dougherty, Joseph Klobusicky, Serap Sahinkaya, Deniz Ustun:
An S-Box construction from exponentiation in finite fields and its application in RGB color image encryption. Multim. Tools Appl. 83(14): 41213-41241 (2024) - 2023
- [j96]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Group matrix ring codes and constructions of self-dual codes. Appl. Algebra Eng. Commun. Comput. 34(2): 279-299 (2023) - [j95]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Additive skew G-codes over finite fields. Appl. Algebra Eng. Commun. Comput. 34(3): 423-442 (2023) - [j94]Yasemin Cengellenmis, Abdullah Dertli, Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Reversible $ G $-codes over the ring $ {\mathcal{F}}_{j,k} $ with applications to DNA codes. Adv. Math. Commun. 17(6): 1406-1421 (2023) - [j93]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Construction of DNA Codes From Composite Matrices and a Bio-Inspired Optimization Algorithm. IEEE Trans. Inf. Theory 69(3): 1588-1603 (2023) - 2022
- [j92]Arezoo Soufi Karbaski, Taher Abualrub, Steven T. Dougherty:
Double quadratic residue codes and self-dual double cyclic codes. Appl. Algebra Eng. Commun. Comput. 33(2): 91-115 (2022) - [j91]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya:
Self-dual additive codes. Appl. Algebra Eng. Commun. Comput. 33(5): 569-586 (2022) - [j90]Taher Abualrub, Steven T. Dougherty:
Additive and linear conjucyclic codes over 픽4. Adv. Math. Commun. 16(1): 1-15 (2022) - [j89]Steven T. Dougherty:
The neighbor graph of binary self-dual codes. Des. Codes Cryptogr. 90(2): 409-425 (2022) - [j88]Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts:
Group LCD and group reversible LCD codes. Finite Fields Their Appl. 83: 102079 (2022) - [j87]Steven T. Dougherty, Serap Sahinkaya, Deniz Ustun:
Additive Complementary Dual Codes From Group Characters. IEEE Trans. Inf. Theory 68(7): 4444-4452 (2022) - 2021
- [j86]Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls:
Self-dual codes over a family of local rings. Appl. Algebra Eng. Commun. Comput. 32(3): 265-281 (2021) - [j85]Steven T. Dougherty, Joe Gildea, Adrian Korban, Serap Sahinkaya:
G-codes, self-dual G-codes and reversible G-codes over the ring ${\mathscr{B}}_{j, k}$. Cryptogr. Commun. 13(5): 601-616 (2021) - [j84]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
Composite matrices from group rings, composite G-codes and constructions of self-dual codes. Des. Codes Cryptogr. 89(7): 1615-1638 (2021) - [j83]Steven T. Dougherty, Cristina Fernández-Córdoba:
Additive G-codes over Fq and their dualities. Finite Fields Their Appl. 72: 101821 (2021) - [j82]Steven T. Dougherty, Joe Gildea, Adrian Korban:
Extending an established isomorphism between group rings and a subring of the n × n matrices. Int. J. Algebra Comput. 31(3): 471-490 (2021) - [j81]Steven T. Dougherty, Josep Rifà, Mercè Villanueva:
Rank and Kernel of Additive Generalized Hadamard Codes. IEEE Trans. Inf. Theory 67(11): 7210-7220 (2021) - [i13]Steven T. Dougherty, Adrian Korban, Serap Sahinkaya, Deniz Ustun:
Group Matrix Ring Codes and Constructions of Self-Dual Codes. CoRR abs/2102.00475 (2021) - [i12]Steven T. Dougherty, Joe Gildea, Adrian Korban, Adam Michael Roberts:
Group LCD and Group Reversible LCD Codes. CoRR abs/2108.05056 (2021) - 2020
- [j80]Steven T. Dougherty, Joe Gildea, Abidin Kaya, Bahattin Yildiz:
New self-dual and formally self-dual codes from group ring constructions. Adv. Math. Commun. 14(1): 11-22 (2020) - [j79]Nuh Aydin, Yasemin Cengellenmis, Abdullah Dertli, Steven T. Dougherty, Esengül Saltürk:
Skew constacyclic codes over the local Frobenius non-chain rings of order 16. Adv. Math. Commun. 14(1): 53-67 (2020) - [j78]Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls, Bahattin Yildiz:
Quaternary group ring codes: Ranks, kernels and self-dual codes. Adv. Math. Commun. 14(2): 319-332 (2020) - [j77]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68. Adv. Math. Commun. 14(4): 677-702 (2020) - [j76]Steven T. Dougherty, Joseph Gildea, Abidin Kaya:
Quadruple bordered constructions of self-dual codes from group rings. Cryptogr. Commun. 12(1): 127-146 (2020) - [j75]Nasreddine Benbelkacem, Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
On Z2Z4-additive complementary dual codes and related LCD codes. Finite Fields Their Appl. 62: 101622 (2020) - [j74]Taher Abualrub, Yonglin Cao, Steven T. Dougherty:
Algebraic structure of additive conjucyclic codes over F4. Finite Fields Their Appl. 65: 101678 (2020) - [j73]Steven T. Dougherty, Joe Gildea, Abidin Kaya:
2n Bordered constructions of self-dual codes from group rings. Finite Fields Their Appl. 67: 101692 (2020) - [j72]Steven T. Dougherty, Bahattin Yildiz:
Linear transformation codes: codes with a compact description and transpoliser codes. Int. J. Inf. Coding Theory 5(3/4): 185-197 (2020) - [j71]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
New extremal self-dual binary codes of length 68 via composite construction, 2 + u2 lifts, extensions and neighbours. Int. J. Inf. Coding Theory 5(3/4): 211-226 (2020) - [c5]Steven T. Dougherty, Josep Rifà, Mercè Villanueva:
Constructions of Nonequivalent Fp-Additive Generalised Hadamard Codes. ISIT 2020: 150-155 - [i11]Steven T. Dougherty, Josep Rifà, Mercè Villanueva:
Rank and Kernel of Fp-Additive Generalised Hadamard Codes. CoRR abs/2001.11609 (2020) - [i10]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya:
Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes. CoRR abs/2002.11614 (2020)
2010 – 2019
- 2019
- [j70]Steven T. Dougherty, Esengül Saltürk, Steve Szabo:
On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices. Appl. Algebra Eng. Commun. Comput. 30(3): 193-206 (2019) - [j69]Yuan Cao, Yonglin Cao, Steven T. Dougherty, San Ling:
Construction and enumeration for self-dual cyclic codes over Z4 of oddly even length. Des. Codes Cryptogr. 87(10): 2419-2446 (2019) - [j68]Steven T. Dougherty, Joe Gildea, Adrian Korban, Abidin Kaya, Alexander Tylyshchak, Bahattin Yildiz:
Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes. Finite Fields Their Appl. 57: 108-127 (2019) - [j67]Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls:
${\mathbb{Z}_{2}\mathbb{Z}_{4}}$ -Additive Cyclic Codes: Kernel and Rank. IEEE Trans. Inf. Theory 65(4): 2119-2127 (2019) - [i9]Nasreddine Benbelkacem, Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
On Z2Z4-additive complementary dual codes and related LCD codes. CoRR abs/1903.07886 (2019) - 2018
- [j66]Steven T. Dougherty, Joe Gildea, Rhian Taylor, Alexander Tylyshchak:
Group rings, G-codes and constructions of self-dual and formally self-dual codes. Des. Codes Cryptogr. 86(9): 2115-2138 (2018) - [j65]Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls:
Binary Images of ℤ2ℤ4-Additive Cyclic Codes. IEEE Trans. Inf. Theory 64(12): 7551-7556 (2018) - 2017
- [j64]Steven T. Dougherty, Abidin Kaya, Esengül Saltürk:
Cyclic codes over local Frobenius rings of order 16. Adv. Math. Commun. 11(1): 99-114 (2017) - [j63]Steven T. Dougherty, Esengül Saltürk:
Codes over a family of local Frobenius rings, Gray maps and self-dual codes. Discret. Appl. Math. 217: 512-524 (2017) - [j62]Steven T. Dougherty, Jon-Lark Kim, Buket Özkaya, Lin Sok, Patrick Solé:
The combinatorics of LCD codes: linear programming bound and orthogonal matrices. Int. J. Inf. Coding Theory 4(2/3): 116-128 (2017) - [i8]Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls:
Binary Images of Z2Z4-Additive Cyclic Codes. CoRR abs/1707.03214 (2017) - [i7]Irwansyah, Aleams Barra, Steven T. Dougherty, Ahmad Muchlis, Intan Muchtadi-Alamsyah, Patrick Solé, Djoko Suprijanto, Olfa Yemen:
$Θ_S-$cyclic codes over $A_k$. CoRR abs/1707.04681 (2017) - [i6]Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls:
ℤ2ℤ4-Additive Cyclic Codes: Kernel and Rank. CoRR abs/1711.03784 (2017) - 2016
- [j61]Steven T. Dougherty, Hongwei Liu, Long Yu:
One weight ℤ2ℤ4 additive codes. Appl. Algebra Eng. Commun. Comput. 27(2): 123-138 (2016) - [j60]Steven T. Dougherty, André Leroy:
Euclidean self-dual codes over non-commutative Frobenius rings. Appl. Algebra Eng. Commun. Comput. 27(3): 185-203 (2016) - [j59]Steven T. Dougherty, Abidin Kaya, Esengül Saltürk:
Constructions of self-dual codes and formally self-dual codes over rings. Appl. Algebra Eng. Commun. Comput. 27(5): 435-449 (2016) - [j58]Steven T. Dougherty, Esengül Saltürk, Steve Szabo:
Codes over local rings of order 16 and binary codes. Adv. Math. Commun. 10(2): 379-391 (2016) - [j57]Adel Alahmadi, Steven T. Dougherty, André Leroy, Patrick Solé:
On the duality and the direction of polycyclic codes. Adv. Math. Commun. 10(4): 921-929 (2016) - [j56]Steven T. Dougherty, Cristina Fernández-Córdoba:
Kernels and ranks of cyclic and negacyclic quaternary codes. Des. Codes Cryptogr. 81(2): 347-364 (2016) - [j55]Steven T. Dougherty, Cristina Fernández-Córdoba, Roger Ten-Valls:
Quasi-cyclic codes as cyclic codes over a family of local rings. Finite Fields Their Appl. 40: 138-149 (2016) - [j54]Aleams Barra, Steven T. Dougherty, Ahmad Muchlis, Intan Muchtadi-Alamsyah, Patrick Solé, Djoko Suprijanto, Olfa Yemen:
ΘS-cyclic codes overAk. Int. J. Comput. Math. Comput. Syst. Theory 1(1): 14-31 (2016) - [j53]Steven T. Dougherty, Josep Rifà, Mercè Villanueva:
Ranks and Kernels of Codes From Generalized Hadamard Matrices. IEEE Trans. Inf. Theory 62(2): 687-694 (2016) - [i5]Steven T. Dougherty, Joe Gildea, Rhian Taylor, Alexander Tylyshchak:
Constructions of Self-Dual and Formally Self-Dual Codes from Group Rings. CoRR abs/1604.07863 (2016) - 2015
- [j52]Muhammad Bilal, Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
Self-dual codes from 3-class association schemes. Appl. Algebra Eng. Commun. Comput. 26(3): 227-250 (2015) - [j51]Steven T. Dougherty, Esengül Saltürk:
Codes over local rings of order 16 and their gray maps. ACM Commun. Comput. Algebra 49(1): 14 (2015) - [j50]Steven T. Dougherty, Esengül Saltürk, Steve Szabo:
Codes over rings of order 16. ACM Commun. Comput. Algebra 49(1): 15 (2015) - [j49]Steven T. Dougherty, Jon-Lark Kim, Yoonjin Lee:
Codes over rings and Hermitian lattices. Des. Codes Cryptogr. 76(3): 519-535 (2015) - [i4]Steven T. Dougherty, Jon-Lark Kim, Buket Özkaya, Lin Sok, Patrick Solé:
The combinatorics of LCD codes: Linear Programming bound and orthogonal matrices. CoRR abs/1506.01955 (2015) - [i3]Steven T. Dougherty, Josep Rifà, Mercè Villanueva:
Ranks and Kernels of Codes from Generalized Hadamard Matrices. CoRR abs/1506.08961 (2015) - 2014
- [j48]Suat Karadeniz, Steven T. Dougherty, Bahattin Yildiz:
Constructing formally self-dual codes over Rk. Discret. Appl. Math. 167: 188-196 (2014) - [j47]Steven T. Dougherty, Cristina Fernández-Córdoba:
$$\mathbb{Z }_2\mathbb{Z }_4$$ -Additive formally self-dual codes. Des. Codes Cryptogr. 72(2): 435-453 (2014) - [j46]Yasemin Cengellenmis, Abdullah Dertli, Steven T. Dougherty:
Codes over an infinite family of rings with a Gray map. Des. Codes Cryptogr. 72(3): 559-580 (2014) - [j45]Steven T. Dougherty, Esengül Saltürk:
Counting codes over rings. Des. Codes Cryptogr. 73(1): 151-165 (2014) - [i2]Zeynep Ödemis Özger, Bahattin Yildiz, Steven T. Dougherty:
On Codes Over $\mathbb{Z}_{p^{s}}$ with the Extended Lee Weight. CoRR abs/1407.2208 (2014) - 2012
- [j44]Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
Characterization and constructions of self-dual codes over ℤ2 × ℤ4. Adv. Math. Commun. 6(3): 287-303 (2012) - [j43]YoungJu Choie, Steven T. Dougherty, Hongwei Liu:
Jacobi Forms and Hilbert-Siegel Modular Forms over Totally Real Fields and Self-Dual Codes over Polynomial Rings Z2m[x] / <g(x)>. Ars Comb. 107: 141-160 (2012) - [j42]Steven T. Dougherty, Suat Karadeniz, Bahattin Yildiz:
Cyclic codes over R k. Des. Codes Cryptogr. 63(1): 113-126 (2012) - [c4]Muhammad Bilal, Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
Extensions of Z2Z4-additive self-dual codes preserving their properties. ISIT 2012: 3101-3105 - 2011
- [j41]Steven T. Dougherty, Sunghyu Han, Hongwei Liu:
Higher weights for codes over rings. Appl. Algebra Eng. Commun. Comput. 22(2): 113-135 (2011) - [j40]Steven T. Dougherty, Cristina Fernández-Córdoba:
Codes over ℤ2k, Gray map and self-dual codes. Adv. Math. Commun. 5(4): 571-588 (2011) - [j39]Muhammad Bilal, Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
Maximum distance separable codes over Z4 and Z2 ×\mathbbZ4. Des. Codes Cryptogr. 61(1): 31-40 (2011) - [j38]Steven T. Dougherty, Bahattin Yildiz, Suat Karadeniz:
Codes over Rk, Gray maps and their binary images. Finite Fields Their Appl. 17(3): 205-219 (2011) - 2010
- [j37]Steven T. Dougherty, Jon-Lark Kim, Hamid Kulosman, Hongwei Liu:
Self-dual codes over commutative Frobenius rings. Finite Fields Their Appl. 16(1): 14-26 (2010) - [j36]Steven T. Dougherty, Jon-Lark Kim, Hongwei Liu:
Constructions of self-dual codes over finite commutative chain rings. Int. J. Inf. Coding Theory 1(2): 171-190 (2010) - [c3]Joaquim Borges, Cristina Fernández-Córdoba, Steven T. Dougherty:
Additive codes over Z2× Z4. ITW 2010: 1-3
2000 – 2009
- 2009
- [j35]Steven T. Dougherty, Jon-Lark Kim, Hamid Kulosman:
MDS codes over finite principal ideal rings. Des. Codes Cryptogr. 50(1): 77-92 (2009) - [j34]Steven T. Dougherty, Hongwei Liu:
Independence of vectors in codes over rings. Des. Codes Cryptogr. 51(1): 55-68 (2009) - [i1]Joaquim Borges, Steven T. Dougherty, Cristina Fernández-Córdoba:
Self-Dual Codes over Z_2xZ_4. CoRR abs/0910.3084 (2009) - 2008
- [j33]Steven T. Dougherty, Theresa A. Szczepanski:
Latin k-hypercubes. Australas. J Comb. 40: 145-160 (2008) - [c2]Steven T. Dougherty, Sihem Mesnager, Patrick Solé:
Secret-sharing schemes based on self-dual codes. ITW 2008: 338-342 - 2007
- [j32]Steven T. Dougherty, Jon-Lark Kim, Patrick Solé:
Double circulant codes from two class association schemes. Adv. Math. Commun. 1(1): 45-64 (2007) - [j31]Steven T. Dougherty, T. Aaron Gulliver, Reshma Ramadurai:
Symmetric Designs and Self-Dual Codes over Rings. Ars Comb. 85 (2007) - [j30]Steven T. Dougherty, Young Ho Park:
On modular cyclic codes. Finite Fields Their Appl. 13(1): 31-57 (2007) - 2006
- [j29]Steven T. Dougherty, T. Aaron Gulliver, Manabu Oura:
Higher Weights for Ternary and Quaternary Self-Dual Codes*. Des. Codes Cryptogr. 38(1): 97-112 (2006) - [j28]Steven T. Dougherty, Young Ho Park:
Codes Over the p-adic Integers. Des. Codes Cryptogr. 39(1): 65-80 (2006) - [j27]Steven T. Dougherty, San Ling:
Cyclic Codes Over Z4 of Even Length. Des. Codes Cryptogr. 39(2): 127-153 (2006) - [j26]Steven T. Dougherty, T. Aaron Gulliver, John N. C. Wong:
Self-dual codes over Z8 and Z9. Des. Codes Cryptogr. 41(3): 235-249 (2006) - 2005
- [j25]Steven T. Dougherty, Manish K. Gupta, Keisuke Shiromoto:
On generalized weights for codes over ℤk. Australas. J Comb. 31: 231-248 (2005) - [j24]Steven T. Dougherty:
A new construction of self-dual codes from projective planes. Australas. J Comb. 31: 337- (2005) - [j23]Steven T. Dougherty, Sun Young Kim, Young Ho Park:
Lifted codes and their weight enumerators. Discret. Math. 305(1-3): 123-135 (2005) - [j22]YoungJu Choie, Steven T. Dougherty:
Codes over rings, complex lattices and Hermitian modular forms. Eur. J. Comb. 26(2): 145-165 (2005) - 2004
- [j21]YoungJu Choie, Steven T. Dougherty:
Codes over Sigma2m and Jacobi forms over the Quaternions. Appl. Algebra Eng. Commun. Comput. 15(2): 129-147 (2004) - [j20]Steven T. Dougherty, Keisuke Shiromoto:
Maximum Distance Codes in Matn, s(Zk) with a Non-Hamming Metric and Uniform Distributions. Des. Codes Cryptogr. 33(1): 45-61 (2004) - 2003
- [j19]Steven T. Dougherty, T. Aaron Gulliver, Manabu Oura:
Higher Weights and Graded Rings for Binary Self-dual Codes. Discret. Appl. Math. 128(1): 121-143 (2003) - [j18]Alexis Bonnecaze, YoungJu Choie, Steven T. Dougherty, Patrick Solé:
Splitting the shadow. Discret. Math. 270(1-3): 42-59 (2003) - [j17]YoungJu Choie, Steven T. Dougherty, Haesuk Kim:
Complete joint weight enumerators and self-dual codes. IEEE Trans. Inf. Theory 49(5): 1275-1282 (2003) - [j16]Alexis Bonnecaze, Anne Desideri Bracco, Steven T. Dougherty, L. R. Nochefranca, Patrick Solé:
Cubic self-dual binary codes. IEEE Trans. Inf. Theory 49(9): 2253-2258 (2003) - [c1]YoungJu Choie, Steven T. Dougherty:
Codes, lattices and modular forms. ITW 2003: 259-262 - 2001
- [j15]Steven T. Dougherty, Masaaki Harada, Manabu Oura:
Note on the g-fold Joint Weight Enumerators of Self-Dual Codes over Zk. Appl. Algebra Eng. Commun. Comput. 11(6): 437-445 (2001) - [j14]Steven T. Dougherty, T. Aaron Gulliver:
Higher Weights and Binary Self-Dual Codes. Electron. Notes Discret. Math. 6: 469-480 (2001) - [j13]Steven T. Dougherty, Keisuke Shiromoto:
Maximum distance codes over rings of order 4. IEEE Trans. Inf. Theory 47(1): 400-404 (2001) - 2000
- [j12]Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada:
Optimal Formally Self-Dual Codes over F5 and F7. Appl. Algebra Eng. Commun. Comput. 10(3): 227-236 (2000) - [j11]Steven T. Dougherty, Masaaki Harada, Patrick Solé:
Shadow lattices and shadow codes. Discret. Math. 219(1-3): 49-64 (2000) - [j10]Steven T. Dougherty, Keisuke Shiromoto:
MDR codes over Zk. IEEE Trans. Inf. Theory 46(1): 265-269 (2000)
1990 – 1999
- 1999
- [j9]Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada:
Optimal ternary formally self-dual codes. Discret. Math. 196(1-3): 117-135 (1999) - [j8]Steven T. Dougherty, Philippe Gaborit, Masaaki Harada, Patrick Solé:
Type II Codes Over F2 + u F2. IEEE Trans. Inf. Theory 45(1): 32-45 (1999) - [j7]Eiichi Bannai, Steven T. Dougherty, Masaaki Harada, Manabu Oura:
Type II Codes, Even Unimodular Lattices, and Invariant Rings. IEEE Trans. Inf. Theory 45(4): 1194-1205 (1999) - [j6]Steven T. Dougherty, Masaaki Harada:
New extremal self-dual codes of length 68. IEEE Trans. Inf. Theory 45(6): 2133-2136 (1999) - [j5]