Title :
A Note About Two-Weight Non-Irreducible Cyclic Codes
Author_Institution :
Direccion Gen. de Computo y de Tecnol. de Informacion y Comun., Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
fDate :
4/1/2012 12:00:00 AM
Abstract :
A class of two-weight non-irreducible cyclic codes was recently presented by Ma . This class of codes generalizes and extends some of the codes presented in papers by Wolfmann in 2005 and Vega and Wolfman in 2007. The aim of this note is to show that the class of codes presented by Ma is properly contained in a superclass of two-weight cyclic codes that was introduced by Vega in 2008.
Keywords :
cyclic codes; code generalization; two-weight nonirreducible cyclic codes; Computers; Cryptography; Galois fields; Indexes; Linear code; Polynomials; Non-irreducible cyclic codes; two-weight cyclic codes; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2178113