Keyword : circulant matrices

Ring Theoretic Approach to Reversible Codes Based on Circulant Matrices
Tomoharu SHIBUYA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/11/01
Vol. E94-A  No. 11 ; pp. 2121-2126
Type of Manuscript:  Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Coding Theory
LDPC codesreversible codesencoding of linear codesJacobi methodcirculant matricesmessage-passing algorithm
 Summary | Full Text:PDF

The Necessary and Sufficient Condition of a Class of Quasi-Cyclic LDPC Codes without Girth Four
Ying ZHAO Yang XIAO 
Publication:   IEICE TRANSACTIONS on Communications
Publication Date: 2009/01/01
Vol. E92-B  No. 1 ; pp. 306-309
Type of Manuscript:  LETTER
Category: Fundamental Theories for Communications
low-density parity-check codesquasi-cyclic codescirculant matricesgirth
 Summary | Full Text:PDF

A Characterization of Some Linear Cellular Automata
Publication:   IEICE TRANSACTIONS on Information and Systems
Publication Date: 2001/01/01
Vol. E84-D  No. 1 ; pp. 15-20
Type of Manuscript:  Special Section PAPER (Special Issue on Selected Papers from LA Symposium)
finite one-dimensional linear cellular automatacirculant matricesfinite D-dimensional cellular automataringsisomorphism of rings
 Summary | Full Text:PDF