Title :
The Weight Distribution of an Extended Class of Reducible Cyclic Codes
Author_Institution :
Direccion Gen. de Computo y de Tecnol. de Informacion y Comun., Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
fDate :
7/1/2012 12:00:00 AM
Abstract :
The weight distribution of a class of nonirreducible cyclic codes was given by Ma et al. [6]. By imposing a special set of conditions on this class of codes, it was recently shown that the resulting codes, for this class, can be obtained as elements in a family of codes introduced by Vega in [7]. Now, by using a different set of conditions, the aim of this paper is to present an extended version for the class of codes studied by Ma et al.
Keywords :
cyclic codes; extended class weight distribution; nonirreducible cyclic codes; reducible cyclic codes; Additives; Finite element methods; Frequency modulation; Hamming weight; Polynomials; Silicon; Vectors; Nonirreducible cyclic codes and Gaussian sums; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2193376
