A Class of Constacyclic Codes over <i>R</i>+ <i>vR</i>and Its Gray Image

• 作者: Dajian Liao Yuansheng Tang
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 数学
• 关键词: FROBENIUS Ring Constacyclic CODES GENERATOR POLYNOMIAL Dual CODES
• 年，卷（期）: 2012,（4）
• 页码范围: 222-227
• 页数: 6页
• 分类号: O1

摘要

We study (1 + 2v)-constacyclic codes overR + vR and their Gray images, where v2 + v = 0 and R is a finite chain ring with maximal ideal λ> and nilpotency index e. It is proved that the Gray map images of a (1 + 2v)-constacyclic codes of length n over R + vR are distance-invariant linear cyclic codes of length 2n over R. The generator polynomials of this kind of codes for length n are determined, where n is relatively prime to p, p is the character of the field R/λ> . Their dual codes are also discussed.