New quinary linear codes from quasi-twisted codes and their duals

被引:17
作者
Ackerman, Ryan [1 ]
Aydin, Nuh [1 ]
机构
[1] Kenyon Coll, Dept Math, Gambier, OH 43022 USA
关键词
Quasi-twisted codes; Dual codes; Best known codes; New codes; CYCLIC CODES; MINIMUM DISTANCES; GF(5);
D O I
10.1016/j.aml.2010.11.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
One of the central problems in algebraic coding theory is construction of linear codes with best possible parameters. Quasi-twisted (QT) codes have been promising to solve this problem. Despite extensive search in this class and discovery of a large number of new codes, we have been able to find still more new codes that are QT over the alphabet F-5 using a more comprehensive search strategy. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:512 / 515
页数:4
相关论文
共 13 条
[11]  
*MAGMA, 2010, MAGMA COMP ALG SYST
[12]   New ternary quasi-cyclic codes with better minimum distances [J].
Siap, I ;
Aydin, N ;
Ray-Chaudhuri, DK .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (04) :1554-1558
[13]  
Siap I, 2004, ARS COMBINATORIA, V71, P239