Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (4): 358-368.doi: 10.13371/j.cnki.chin.q.j.m.2018.04.003

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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;

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

CLC Number: