DocumentCode
25128
Title
A Characterization of Two-Weight Projective Cyclic Codes
Author
Tao Feng
Author_Institution
Dept. of Math., Zhejiang Univ., Hangzhou, China
Volume
61
Issue
1
fYear
2015
fDate
Jan. 2015
Firstpage
66
Lastpage
71
Abstract
We give necessary conditions for a two-weight projective cyclic code to be the direct sum of two one-weight irreducible cyclic subcodes of the same dimension, following the work of Wolfmann and Vega. This confirms Vega´s conjecture that all the two-weight cyclic codes of this type are the known ones in the projective case.
Keywords
cyclic codes; dual codes; Vega conjecture; dual code; one-weight irreducible cyclic subcodes; two-weight projective cyclic code characterization; Digital communication; Educational institutions; Indexes; Linear codes; Polynomials; Writing; Cyclic code; Gauss sum; cyclic code; projective code; two-weight code;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2014.2366742
Filename
6945385
Link To Document