On the doubly-even self-dual codes of length 96

被引：10

作者：

Dontcheva, R ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Informat Technol & Syst, NL-2628 CD Delft, Netherlands

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2002年 / 48卷 / 02期

关键词：

automorphisms; doubly-even self-dual codes; weight enumerators;

D O I：

10.1109/18.979333

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove that 23, 11, and 7 do not divide the order of the automorphism group of a binary [96, 48, 20] doubly-even self-dual code. We construct 25 new inequivalent binary [96, 48, 16] doubly-even self-dual codes via an automorphism of order 23.

引用

页码：557 / 561

页数：5

共 50 条

[21] On Extremal Self-Dual Codes of Length 96
de la Cruz, Javier
Willems, Wolfgang
IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (10) : 6820 - 6823
[22] Self-orthogonal 3-(56,12,65) designs and extremal doubly-even self-dual codes of length 56
Harada, M
DESIGNS CODES AND CRYPTOGRAPHY, 2006, 38 (01) : 5 - 16
[23] Automorphisms of doubly even self-dual binary codes
Guenther, Annika
Nebe, Gabriele
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 769 - 778
[24] Self-Orthogonal 3-(56,12,65) Designs and Extremal Doubly-Even Self-Dual Codes of Length 56
Masaaki Harada
Designs, Codes and Cryptography, 2006, 38 : 5 - 16
[25] Remark on a 5-Design Related to a Putative Extremal Doubly-Even Self-Dual [96, 48, 20] Code
Masaaki Harada
Designs, Codes and Cryptography, 2005, 37 : 355 - 358
[26] On the covering radii of extremal doubly even self-dual codes
Harada, Masaaki
Munemasa, Akihiro
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2007, 1 (02) : 251 - 256
[27] Mutually disjoint t-designs and t-SEEDs from extremal doubly-even self-dual codes
Jianying Fang
Yanxun Chang
Designs, Codes and Cryptography, 2014, 73 : 769 - 780
[28] Mutually disjoint t-designs and t-SEEDs from extremal doubly-even self-dual codes
Fang, Jianying
Chang, Yanxun
DESIGNS CODES AND CRYPTOGRAPHY, 2014, 73 (03) : 769 - 780
[29] On two doubly even self-dual binary codes of length 160 and minimum weight 24
van Dijk, M
Egner, S
Greferath, M
Wassermann, A
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (01) : 408 - 411
[30] Generalised H-codes and doubly even self-dual binary codes
Wei, R.
Zhu, L.
Journal of Statistical Planning and Inference, 51 (03):

← 1 2 3 4 5 →