Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 132674, 18 pages
A Simple Cocyclic Jacket Matrices
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
Academic Editor: Angelo Luongo
Copyright © 2008 Moon Ho Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.