Good Linear Codes from Quadratic Residue Codes over a Finite Non-Chain Ring  

作　　者：GAO Jian MA Fanghui 

机构地区：[1]School of Science, Shandong University of Technology

出　　处：《Chinese Journal of Electronics》2017年第4期773-777,共5页电子学报（英文版）

基　　金：supported by the National Key Basic Research Program of China(No.2013CB834204);the National Natural Science Foundation of China(No.61171082,No.61301137)

摘　　要：This paper is devoted to the study of quadratics residue codes and their extended codes over a finite non-chain ring. A class of Gray maps preserving the self-duality from the ring to the finite field are introduced.Some structural properties of quadratic residue codes and their extended codes are given. As an interesting application of these families of codes, some good linear codes are obtained by a special Gray map.This paper is devoted to the study of quadratics residue codes and their extended codes over a finite non-chain ring. A class of Gray maps preserving the self-duality from the ring to the finite field are introduced.Some structural properties of quadratic residue codes and their extended codes are given. As an interesting application of these families of codes, some good linear codes are obtained by a special Gray map.

关 键 词：Gray map Quadratic residue codes Good linear codes 

分 类 号：O157.4[理学—数学]