电子学报2017，Vol.45Issue(6)：1469-1474,6.DOI:10.3969/j.issn.0372-2112.2017.06.027
F4m上厄米特自正交常循环码
Hermitian Self-Orthogonal Constacyclic Codes over F4m
摘要
Abstract
Constacyclic codes over finite fields are a class of important linear codes.This class of codes has rich algebra tructure and its encoding and decoding circuits can be easily performed.Constacyclic codes over finite fields have any applications in information transmission.In this paper,the structure of Hermitian self-orthogonal constacyclic codes over a class of finite fields of any length is studied.By using generator polynomial,the condition for the existence of Hermitian self-orthogonal constacyclic codes over this class of finite fields is explored and the enumeration formula of such codes is determined.Further,Hermitian self-orthogonal constacyclic codes over this class finite fields are applied to construct some optimal quantum codes.关键词
常循环码/厄米特自正交码/生成多项式/量子码Key words
constacyclic code/Hermitian self-orthogonal code/generator polynomial/quantum code分类
信息技术与安全科学引用本文复制引用
管乾清,开晓山,朱士信..F4m上厄米特自正交常循环码[J].电子学报,2017,45(6):1469-1474,6.基金项目
国家自然科学基金(No.61370089,No.61572168) （No.61370089,No.61572168）
安徽省自然科学基金(No.JZ2015AKZR0229,No.1508085MA13,No.1408085QF116) （No.JZ2015AKZR0229,No.1508085MA13,No.1408085QF116）
2014年安徽省高校优秀青年支持计划 （）
东南大学移动通信国家重点实验室开放研究基金(No.2014D04) （No.2014D04）
