Construction of Self-dual Codes over Fp + vFp

ZHANG Guang-hui, WANG Dong-qing

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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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Abstract

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.

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

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ZHANG Guang-hui, WANG Dong-qing . Construction of Self-dual Codes over F_p + vF_p[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(4) : 358 -368 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.04.003

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