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

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 04期

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.

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页码：512 / 515

页数：4

相关论文

共 13 条

[1] New quasi-cyclic codes over F5 [J].

Aydin, N ;

Siap, I .

APPLIED MATHEMATICS LETTERS, 2002, 15 (07) :833-836

[2] The structure of 1-generator quasi-twisted codes and new linear codes [J].

Aydin, N ;

Siap, I ;

Ray-Chaudhuri, DK .

DESIGNS CODES AND CRYPTOGRAPHY, 2001, 24 (03) :313-326

[3] Some open problems on quasi-twisted and related code constructions and good quaternary codes [J].

Aydin, Nuh ;

Asamov, Tsvetan ;

Gulliver, T. Aaron .

2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7, 2007, :856-+

[4]

Bosma Wieb., 2006, DISCOVERING MATH MAG

[5] An Explicit Construction of 2-Generator Quasi-Twisted Codes [J].

Chen, Eric Z. .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (12) :5770-5773

[6] Some high-rate linear codes over GF(5) and GF(7) [J].

Daskalov, R. .

PROBLEMS OF INFORMATION TRANSMISSION, 2007, 43 (02) :124-131

[7] New minimum distance bounds for linear codes over GF(5) [J].

Daskalov, R ;

Hristov, P ;

Metodieva, E .

DISCRETE MATHEMATICS, 2004, 275 (1-3) :97-110

[8] New quasi-twisted degenerate ternary linear codes [J].

Daskalov, R ;

Hristov, P .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (09) :2259-2263

[9]

GRASSL M, 2010, BOUNDS MINIMUM DISTA

[10] 2 NEW RATE 2/P BINARY QUASI-CYCLIC CODES [J].

GULLIVER, TA ;

BHARGAVA, VK .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (05) :1667-1668