New good quasi-cyclic ternary and quaternary linear codes

被引：25

作者：

Daskalov, RN ^{[1
]}

Gulliver, TA ^{[1
]}

机构：

[1] CARLETON UNIV,DEPT SYST & COMP ENGN,OTTAWA,ON K1S 5B6,CANADA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1997年 / 43卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

quasi-cyclic codes; ternary and quaternary linear codes;

D O I：

10.1109/18.623167

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let [n, k, d; q]-codes be linear codes of length n, dimension k and minimum Hamming distance d over GF (q). The following quasi-cyclic codes are constructed in this paper: [44, 11, 20; 3], [55, 11, 26 : 3], [66, 11, 32; 3], [48, 12, 21; 3], [60, 12, 28; 3], [56, 13, 24; 3], [65, 13, 29; 3], [56, 14, 23; 3], [60, 15, 23; 3], [64, 16, 25; 3], [36, 9, 19; 4], [90, 9, 55; 4], [99, 9, 61; 4], [30, 10, 14; 4], [50, 10, 27; 4], [55, 10, 30; 4], [33, 11, 15; 4], [44, 11, 22; 4], [55, 11, 29; 4], [36, 12, 16; 4], [48, 12, 23; 4], [60, 12, 31; 4]. All of these codes have established or exceed the respective lower bounds on the minimum distance given by Brouwer.

引用

页码：1647 / 1650

页数：4

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