Polyadic constacyclic codes over a non-chain ring Fq[u, v]/⟨f (u), g(v), uv - vu⟩

被引：6

作者：

Goyal, Mokshi ^{[1
]}

Raka, Madhu ^{[1
]}

机构：

[1] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2020年 / 62卷 / 1-2期

关键词：

Polyadic codes; Constacyclic codes; Gray map; Self-dual and self-orthogonal codes; Isodual codes and LCD codes; QUADRATIC RESIDUE CODES;

D O I：

10.1007/s12190-019-01290-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f (u) and g(v) be two polynomials, not both linear, which split into distinct linear factors over F-q. Let R = F-q [u, v]/< f (u), g(v), uv - vu > be a finite commutative non-chain ring. In this paper, we study polyadic lambda-constacyclic codes of Type I and Type II over R for lambda is an element of F-q*. The Gray images of polyadic negacyclic codes and their extensions lead to construction of self-dual, isodual, self-orthogonal and complementary dual(LCD) codes over F-q. We also study alpha-constacyclic codes over R for any unit alpha in R.

引用

页码：425 / 447

页数：23

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