Title :
A Characterization of Two-Weight Projective Cyclic Codes
Author_Institution :
Dept. of Math., Zhejiang Univ., Hangzhou, China
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2366742
