Title :
Design of non binary LDPC codes using their binary image: algebraic properties
Author :
Poulliat, Charly ; Fossorier, Marc ; Declercq, David
Author_Institution :
ENSEA
Abstract :
In this paper, we develop algebraic properties of regular (2, t r, N) non binary LDPC codes designed using their binary image. First, we characterize the algebraic properties of optimized rows of the parity check matrix H associated with a code, and then we study the algebraic properties of cycles and stopping sets associated with the underlaying Tanner graph
Keywords :
algebraic codes; matrix algebra; parity check codes; Tanner graph; algebraic properties; binary image; nonbinary LDPC codes; parity check matrix; Belief propagation; Binary codes; Floors; Galois fields; Hardware; Image representation; Iterative algorithms; Iterative decoding; Optimization methods; Parity check codes;
Conference_Titel :
Information Theory, 2006 IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
1-4244-0505-X
Electronic_ISBN :
1-4244-0504-1
DOI :
10.1109/ISIT.2006.261681
