Title :
Optimal regular LDPC codes for the binary erasure channel
Author :
Rashidpour, M. ; Shokrollahi, A. ; Jamali, S.H.
Author_Institution :
Dept. of E&CE, Waterloo Univ., Ont., Canada
fDate :
6/1/2005 12:00:00 AM
Abstract :
We prove that for any given R between 0 and 1 the best threshold value for a regular LDPC code of rate R with common variable degree v and common check degree c occurs when v is at least 3 and is minimal subject to the condition R=1-v/c.
Keywords :
channel coding; optimisation; parity check codes; BEC; binary erasure channel; optimal codes; regular LDPC code; Belief propagation; Constraint theory; Decoding; Laboratories; Mathematics; Message passing; Parity check codes; Performance analysis;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2005.1437366