环Fp+vFp上自对偶码的构造

张光辉, 王冬晴

doi:10.13371/j.cnki.chin.q.j.m.2018.04.003

数学季刊 >

2018 , Vol. 33 >Issue 4: 358 - 368

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.04.003

环F_p+vF_p上自对偶码的构造

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School of Mathematical Sciences, Luoyang Normal University

ZHANG Guang-hui(1973-), male, native of Yexian, an associate professor of Luoyang Normal University, Ph.D, engages in classical error-correcting codes and quantum error-correcting codes.

录用日期: 2017-12-18

网络出版日期: 2020-10-07

基金资助

supported in part by the National Science Foundation of China under Grant 11571005； in part by the Key Research Project of Higher Education of the Education Department of Henan Province under Grant 19A120010；

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Construction of Self-dual Codes over F_p + vF_p

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School of Mathematical Sciences, Luoyang Normal University

ZHANG Guang-hui(1973-), male, native of Yexian, an associate professor of Luoyang Normal University, Ph.D, engages in classical error-correcting codes and quantum error-correcting codes.

Accepted date: 2017-12-18

Online published: 2020-10-07

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摘要

In this paper, we give an explicit construction for self-dual codes over F_p+vF_p(v²= v) and determine all the self-dual codes over F_p+ vF_p by using self-dual codes over finite field F_p, where p is a prime.

关键词： Linear code; self-dual code; codes over F_p+ vF_p; non-chain ring

本文引用格式

张光辉, 王冬晴 . 环F_p+vF_p上自对偶码的构造[J]. 数学季刊, 2018 , 33(4) : 358 -368 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.04.003

Abstract

Key words： Linear code; self-dual code; codes over F_p + vF_p; non-chain ring

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