Cyclic codes of length 2m

被引：13

作者：

Pruthi, M ^{[1
]}

机构：

[1] MD Univ PG Reg Ctr, Dept Math, Rewari 123401, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2001年 / 111卷 / 04期

关键词：

cyclotomic cosets; generator polynomial; idempotent generator; n; k; d] cyclic codes;

D O I：

10.1007/BF02829612

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper explicit expressions of in + 1 idempotents in the ring R = F-q[X]/(X-2"' - 1) are given. Cyclic codes of length 21'" over the finite field F-q, of odd characteristic, are defined in terms of their generator polynomials. The exact minimum distance and the dimension of the codes are obtained.

引用

页码：371 / 379

页数：9