On jacket transforms over finite fields

Authors:
Moon Ho Lee;Yuri L. Borissov
Affiliations:
Institute of Information and Communication, Chonbuk National University, Jeonju, R. Korea;Mathematical Foundations of Informatics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Year:
2009

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Abstract

In 2001 Lee, Rajan and Park introduced (among other things) the concept of extended Complex Reverse Jacket (CRJ) transform over finite field. In this paper, we prove that this transform is equivalent to Galois Field Fourier (GFF) transform and possesses an additional feature of having a matrix with specific border. We also, present examples of Jacket transforms over finite fields applicable to odd dimensions extending in this way previous works on the subject.