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

Authors
Liqin Qian, Minjia Shi, Lin Sok, Jingshui Ping, Solé Patrick
Corresponding Author
Liqin Qian
Available Online October 2016.
DOI
https://doi.org/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.
Open Access

Volume Title
Proceedings of the International Conference on Communication and Electronic Information Engineering (CEIE 2016)
Series
Publication Date
October 2016
ISBN
978-94-6252-312-8
ISSN
2352-5401
DOI
https://doi.org/10.2991/ceie-16.2017.33How to use a DOI?
Open Access

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  - https://doi.org/10.2991/ceie-16.2017.33
ID  - Qian2016/10
ER  -