Extremal self-dual codes with an automorphism of order 2

被引：42

作者：

Buyuklieva, S ^{[1
]}

Boukliev, I

机构：

[1] Univ Veliko Tarnavo, Fac Math & Informat, Veliko Tarnovo, Bulgaria

[2] Bulgarian Acad Sci, Math Inst, Veliko Tarnovo, Bulgaria

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1998年 / 44卷 / 01期

关键词：

automorphism; heuristic algorithm; self-dual codes;

D O I：

10.1109/18.651059

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A method to design binary self-dual codes with an automorphism of order-two without fixed points is presented. Extremal self-dual codes with lengths 40, 42, 44, 54, 58, 68 are constructed. Many of them have weight enumerators for which extremal codes were previously not known to exist.

引用

页码：323 / 328

页数：6

共 50 条

[21] Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2
Sanja Rukavina
Vladimir D. Tonchev
[J]. Journal of Algebraic Combinatorics, 2023, 57 : 905 - 913
[22] Self-dual codes with automorphism of order 3 having 8 cycles
Kim, Hyun Jin
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2010, 57 (03) : 329 - 346
[23] On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups
Anton Malevich
Wolfgang Willems
[J]. Designs, Codes and Cryptography, 2014, 70 : 69 - 76
[24] On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups
Malevich, Anton
Willems, Wolfgang
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2014, 70 (1-2) : 69 - 76
[25] Hadamard matrices of order 32 and extremal ternary self-dual codes
Koichi Betsumiya
Masaaki Harada
Hiroshi Kimura
[J]. Designs, Codes and Cryptography, 2011, 58 : 203 - 214
[26] Hadamard matrices of order 32 and extremal ternary self-dual codes
Betsumiya, Koichi
Harada, Masaaki
Kimura, Hiroshi
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2011, 58 (02) : 203 - 214
[27] Extremal ternary self-dual codes of length 36 and symmetric 2-(36,15,6) designs with an automorphism of order 2
Rukavina, Sanja
Tonchev, Vladimir. D. D.
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 57 (03) : 905 - 913
[28] Construction of new extremal self-dual codes
Gulliver, TA
Harada, M
Kim, JL
[J]. DISCRETE MATHEMATICS, 2003, 263 (1-3) : 81 - 91
[29] On extremal self-dual codes of length 120
de la Cruz, Javier
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2015, 75 (02) : 243 - 252
[30] ON INEQUIVALENCE OF SOME EXTREMAL SELF-DUAL CODES
TONCHEV, VD
[J]. DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1983, 36 (02): : 181 - 184

← 1 2 3 4 5 →