Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 4: 430 - 440

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.04.010

The Depth Distribution of Constacyclic Codes Over the Ring Fp+vFp+v2Fp

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  • School of Mathematical Sciences, Anhui University
LI Jian-hao (1997-), male, native of Hefei, Anhui, master degree candidate of Anhui University, engages in algebraic coding theory; WU Hua-zhang (1966-), male, native of Hefei, Anhui, professor of Anhui University, engages in algebraic coding theory.

Received date: 2021-04-12

  Online published: 2021-12-30

Supported by

Supported by the Open Research Fund of Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University.

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Abstract

 In this paper, we studied the depth spectrum and the depth distribution of constacyclic codes over the non-chain ring R = Fp+vFp+v2Fp, where v3=v. By decomposing the linear codes C over R into the linear codes over the finite field Fp, three corresponding constacyclic codes C1, C2, C3 over Fp were obtained. Furthermore, considering the depth spectrum of constacyclic codes over the finite filed Fp, and the relationship between constacyclic codes C1, C2, C3 and C, the depth spectrum and the depth distribution of constacyclic codes over R were discussed.

Key words：  Constacyclic code; Depth spectrum; Depth distribution; Non-chain ring

Cite this article

LI Jian-hao, WU Hua-zhang . The Depth Distribution of Constacyclic Codes Over the Ring Fp+vFp+v2Fp[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(4) : 430 -440 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.010

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