Title :
Spectral Method for Quasi-Cyclic Code Analysis
Author :
Semenov, P. ; Trifonov, P.
Author_Institution :
Dept. of Distrib. Comput. & Networking, St.-Petersburg State Polytech. Univ., St. Petersburg, Russia
fDate :
11/1/2012 12:00:00 AM
Abstract :
A generalization of the BCH bound to the case of quasi-cyclic codes is proposed. The new approach is based on eigenvalues of matrix polynomials. This results in improved minimum distance estimates compared to the existing bounds.
Keywords :
cyclic codes; eigenvalues and eigenfunctions; polynomial matrices; BCH bound generalization; matrix polynomial eigenvalues; quasicyclic code analysis; Eigenvalues and eigenfunctions; Linear code; Matrices; Parity check codes; Polynomials; Vectors; BCH; Quasi-cyclic codes; eigenvalues; matrix polynomials; minimum distance estimation;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2012.091712.120834
