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.
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页码：371 / 379
页数：9
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