摘要
针对环Z_(2)Z_(4)[u],介绍一类新的加性循环码:Z_(2)Z_(4)[u]-加性循环码。讨论Z_(2)Z_(4)[u][u]-加性循环码及其对偶码的相关性质,以及码字内积和Rα,β上多项式乘积之间的关系。研究环Z_(2)Z_(4)[u]-循环码的代数结构和最小生成集,并通过相应的实例加以说明。
A new type of additive cyclic codes over the ring Z_(2)Z_(4)[u](u^(2)=0)was introduced.Some properties for Z_(2)Z_(4)[u]-additive cyclic codes and their duals were discussed,and the relationship between the inner product of codes over Zα2×Zβ4[u] and the multiplication of polynomials over Rα,βwas obtained.The algebraic structure and the minimal spanning sets for this kind of cyclic codes were studied,and some examples were presented to illustrate the results.
作者
耿婕
吴化璋
GENG Jie;WU Huazhang(School of Mathematical Sciences,Anhui University,Hefei Anhui 230601,China)
出处
《阜阳师范大学学报（自然科学版）》
2022年第1期17-20,28,共5页
Journal of Fuyang Normal University:Natural Science
基金
教育部信号过程与智能计算重点实验室2017年重点开放课题(信号处理与代数编码中的矩阵计算)。
