New constructions of optimal self-dual binary codes of length 54

被引：0
作者：
Stefka Bouyuklieva
Patric R. J. Östergård
机构：
[1] Veliko Tarnovo University,Department of Mathematics and Informatics
[2] Helsinki University of Technology,Department of Electrical and Communications Engineering
来源：
Designs, Codes and Cryptography | 2006年 / 41卷
关键词：
Automorphisms; Cubic codes; Hermitian codes; Self-dual codes; 94B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The quaternary Hermitian self-dual [18,9,6]4 codes are classified and used to construct new binary self-dual [54,27,10]2 codes. All self-dual [54,27,10]2 codes obtained have automorphisms of order 3, and six of their weight enumerators have not been previously encountered.
引用
收藏
页码：101 / 109
页数：8
相关论文
共 31 条
[1]  
Bilous RT(2002)An enumeration of binary self-dual codes of length 32 Des Codes Cryptogr 26 61-86
[2]  
van Rees GHJ(2003)Cubic self-dual binary codes IEEE Trans Inform Theory 49 2253-2259
[3]  
Bonnecaze A(2005)Classification of self-orthogonal codes over 𝔽 SIAM J Discrete Math 19 363-370
[4]  
Desideri Bracco AD(2002) and 𝔽 IEEE Trans Inform Theory 48 981-985
[5]  
Dougherty ST(2005)Some new results for optimal ternary linear codes IEEE Trans Inform Theory 51 3678-3686
[6]  
Nochefranca LR(1979)On the structure of binary self-dual codes having an automorphism of order a square of an odd prime IEEE Trans Inform Theory 25 312-322
[7]  
Solé P(1990)Self-dual codes over GF(3) and GF(4) of length not exceeding 16 IEEE Trans Inform Theory 36 1319-1333
[8]  
Bouyukliev I(2003)A new upper bound on the minimal distance of self-dual codes IEEE Trans Inform Theory 49 53-59
[9]  
Östergård PRJ(1982)The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code IEEE Trans Inform Theory 28 511-521
[10]  
Bouyukliev I(1997)Automorphisms of codes with application to extremal doubly even codes of length 48 IEEE Trans Inform Theory 43 1613-1616
1234