数学季刊 ›› 2018, Vol. 33 ›› Issue (4): 358-368.doi: 10.13371/j.cnki.chin.q.j.m.2018.04.003

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环Fp+vFp上自对偶码的构造

  

  1. School of Mathematical Sciences, Luoyang Normal University
  • 接受日期:2017-12-18 出版日期:2018-12-30 发布日期:2020-10-07
  • 作者简介: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.
  • 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；

Construction of Self-dual Codes over Fp + vFp

  1. School of Mathematical Sciences, Luoyang Normal University
  • Accepted:2017-12-18 Online:2018-12-30 Published:2020-10-07
  • About author: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.
  • Supported by:
    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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摘要： In this paper, we give an explicit construction for self-dual codes over Fp+vFp(v2= v) and determine all the self-dual codes over Fp+ vFp by using self-dual codes over finite field Fp, where p is a prime. 

关键词: Linear code, self-dual code, codes over Fp + vFp, non-chain ring

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

Key words: Linear code, self-dual code, codes over Fp + vFp, non-chain ring

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