A Special Class of Constacyclic Codes over a Non-Chain Ring

DOI

10.2991/ceie-16.2017.33How to use a DOI?

Keywords

Constacyclic Codes; Gray Map; Dual Codes; Negacyclic Codes

Abstract

Let R= Fp [u,v]/, where u2=1, v3=v and p are odd primes. In this paper, we study (1-2v2)-constacyclic codes over R. Firstly, a new Gray map from Rn to (Fp+uFp)2n is given. Then we investigate some properties of (1-2v2)-constacyclic codes over R. Finally, we present an example of (1-2v2)-constacyclic codes over R.Let R= Fp [u,v]/, where u2=1, v3=v and p are odd primes. In this paper, we study (1-2v2)-constacyclic codes over R. Firstly, a new Gray map from Rn to (Fp+uFp)2n is given. Then we investigate some properties of (1-2v2)-constacyclic codes over R. Finally, we present an example of (1-2v2)-constacyclic codes over R.Let R= Fp [u,v]/, where u2=1, v3=v and p are odd primes. In this paper, we study (1-2v2)-constacyclic codes over R. Firstly, a new Gray map from Rn to (Fp+uFp)2n is given. Then we investigate some properties of (1-2v2)-constacyclic codes over R. Finally, we present an example of (1-2v2)-constacyclic codes over R.Let R= Fp [u,v]/, where u2=1, v3=v and p are odd primes. In this paper, we study (1-2v2)-constacyclic codes over R. Firstly, a new Gray map from Rn to (Fp+uFp)2n is given. Then we investigate some properties of (1-2v2)-constacyclic codes over R. Finally, we present an example of (1-2v2)-constacyclic codes over R.Let R= Fp [u,v]/, where u2=1, v3=v and p are odd primes. In this paper, we study (1-2v2)-constacyclic codes over R. Firstly, a new Gray map from Rn to (Fp+uFp)2n is given. Then we investigate some properties of (1-2v2)-constacyclic codes over R. Finally, we present an example of (1-2v2)-constacyclic codes over R.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Liqin Qian
AU  - Minjia Shi
AU  - Lin Sok
AU  - Jingshui Ping
AU  - Solé Patrick
PY  - 2016/10
DA  - 2016/10
TI  - A Special Class of Constacyclic Codes over a Non-Chain Ring
BT  - Proceedings of the International Conference on Communication and Electronic Information Engineering (CEIE 2016)
PB  - Atlantis Press
SP  - 259
EP  - 267
SN  - 2352-5401
UR  - https://doi.org/10.2991/ceie-16.2017.33
DO  - 10.2991/ceie-16.2017.33
ID  - Qian2016/10
ER  -