Paper Info
Title
On the Gray images of some constacyclic codes over F p + u F p + u 2 F p .
Abstract
Constacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, a new Gray map between codes over F p + u F p + u 2 F p and codes over F p is defined, where p is an odd prime. By means of this map, it is shown that the Gray image of a linear (1+u+u 2)-constacyclic code over F p + u F p + u 2 F p of length n is a repeated-root cyclic code over F p of length pn. Furthermore, some examples of optimal linear cyclic codes over F 3 from (1 + u + u 2)-constacyclic codes over F 3 + u F 3 + u 2 F 3 are given.
Year
DOI
Venue
2016
10.1007/s11424-015-4316-5
J. Systems Science & Complexity
Keywords
DocType
Volume
Constacyclic code, cyclic code, Gray map
Journal
29
Issue
ISSN
Citations 
3
1559-7067
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Haifeng Yu100.34
Shixin Zhu221637.61
Xiaoshan Kai3504.29