所属单位：理学院
发表刊物：DISCRETE MATHEMATICS
关键字：Primitive idempotents Irreducible cyclic codes Weight distribution Self-dual cyclic codes
摘要：Let R be the Galois ring GR(p(k), s) of characteristic p(k) and cardinality p(sk). Firstly, we give all primitive idempotent generators of irreducible cyclic codes of length n over R, and a p-adic integer ring with gcd(p, n) = 1. Secondly, we obtain all primitive idempotents of all irreducible cyclic codes of length rl(m) over R, where r, l, and t are three primes with 2 inverted iota 1, r vertical bar(q(t) - 1), l(v) vertical bar vertical bar (q(t) - t) and gcd(rl, q(q - 1)) = 1. Finally, as applications, weight distributions of all irreducible cyclic codes for t = 2 and generator polynomials of self-dual cyclic codes of length l(m) and rl(m) over R are given. (C) 2017 Elsevier B.V. All rights reserved.
ISSN号：0012-365X
是否译文：否
发表时间：2018-06-01
合写作者：Wu, Yansheng,Li, Fengwei
通讯作者：岳勤
发表时间：2018-06-01