Mathematical Problems in Engineering 
Volume 2008 (2008), Article ID 132674, 18 pages
doi:10.1155/2008/132674
Research Article

A Simple Cocyclic Jacket Matrices

Moon Ho Lee,1 Gui-Liang Feng,2 and Zhu Chen1

 1Institute of Information & Communication, Chonbuk National University, Jeonju 561-756, South Korea
2The Center for Advanced Computer Studies, University of Louisiana at Lafayette, LA 70504, USA
Received 22 October 2007; Revised 12 May 2008; Accepted 17 July 2008

Recommended by Angelo Luongo

Abstract

We present a new class of cocyclic Jacket matrices over complex number field with any size. We also construct cocyclic Jacket matrices over the finite field. Such kind of matrices has close relation with unitary matrices which are a first hand tool in solving many problems in mathematical and theoretical physics. Based on the analysis of the relation between cocyclic Jacket matrices and unitary matrices, the common method for factorizing these two kinds of matrices is presented.