On LCD Negacyclic Codes over Finite Fields  

作　　者：PANG Binbin ZHU Shixin SUN Zhonghua 

机构地区：[1]School of Mathematics, Hefei University of Technology

出　　处：《Journal of Systems Science & Complexity》2018年第4期1065-1077,共13页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.61370089,61572168,11501156;the Anhui Provincial Natural Science Foundation under Grant No.1508085SQA198

摘　　要：This paper deduces the structure of LCD negacyclic codes over the finite field Fq, where q is an odd prime power. Based on the study of q-cyclotomic cosets modulo 2n, the authors obtain the parameters of LCD negacyclic codes of lengths n=qt＋1/2,qm-1/2（q-1） and qt·2τ-1/2（q2＋1）respectively. And many optimal codes are given. Moreover, the authors research two special classes of MDS LCD negacyclic codes of length n｜q-1/2 and n｜q＋1/2,respectively.

关 键 词：LCD codes MDS codes negacyclic codes. 

分 类 号：O153.4[理学—数学]