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

doi:10.13371/j.cnki.chin.q.j.m.2021.04.010

Chinese Quarterly Journal of Mathematics ›› 2021, Vol. 36 ›› Issue (4): 430-440.doi: 10.13371/j.cnki.chin.q.j.m.2021.04.010

School of Mathematical Sciences, Anhui University

Received:2021-04-12 Online:2021-12-30 Published:2021-12-30
Contact: WU Hua-zhang (1966-), male, native of Hefei, Anhui, professor of Anhui University, engages in algebraic coding theory.
About author: 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.
Supported by:
Supported by the Open Research Fund of Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University.

Abstract

Abstract: In this paper, we studied the depth spectrum and the depth distribution of constacyclic codes over the non-chain ring R = F_p+vF_p+v²F_p, 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

CLC Number:

O157.4

LI Jian-hao, WU Hua-zhang. The Depth Distribution of Constacyclic Codes Over the Ring F_p+vF_p+v²F_p[J]. Chinese Quarterly Journal of Mathematics, 2021, 36(4): 430-440.

The Depth Distribution of Constacyclic Codes Over the Ring F_p+vF_p+v²F_p

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