Linear Codes and (1+uv)-Constacyclic Codes over R[v]/(v2+v)

Jian GAO  Fang-Wei FU  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E98-A   No.4   pp.1044-1048
Publication Date: 2015/04/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E98.A.1044
Type of Manuscript: LETTER
Category: Coding Theory
Keyword: 
finite non-chain ring,  Gray map,  (1+uv)-constacyclic codes,  optimal binary linear codes,  

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Summary: 
In this short correspondence, (1+uv)-constacyclic codes over the finite non-chain ring R[v]/(v2+v) are investigated, where R=F2+uF2 with u2=0. Some structural properties of this class of constacyclic codes are studied. Further, some optimal binary linear codes are obtained from these constacyclic codes.