Title
Hierarchies Of Local-Optimality Characterizations In Decoding Tanner Codes
Abstract
Recent developments in decoding Tanner codes with maximum-likelihood certificates are based on a sufficient condition called local optimality. We define hierarchies of locally optimal codewords with respect to two parameters. One parameter is related to the minimum distance of the local codes in Tanner codes. The second parameter is related to the finite number of iterations used in iterative decoding. We show that these hierarchies satisfy inclusion properties as these parameters are increased. In particular, this implies that a codeword that is decoded with a certificate using an iterative decoder after h iterations is decoded with a certificate after k . h iterations, for every integer k.
Year
DOI
Venue
2012
10.1109/ISIT.2012.6284008
2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)
Keywords
DocType
Volume
vectors,convergence,vegetation,graph theory
Journal
abs/1202.2251
Citations 
PageRank 
References 
0
0.34
9
Authors
2
Name
Order
Citations
PageRank
Nissim Halabi183.58
Guy Even21194136.90