On the treewidth of MDS and Reed-Muller codes


Autoria(s): Kashyap, Navin; Thangaraj, Andrew E
Data(s)

2011

Resumo

The treewidth of a linear code is the least constraint complexity of any of its cycle-free graphical realizations. This notion provides a useful parametrization of the maximum-likelihood decoding complexity for linear codes. In this paper, we compute exact expressions for the treewidth of maximum distance separable codes, and first- and second-order Reed-Muller codes. These results constitute the only known explicit expressions for the treewidth of algebraic codes.

Formato

application/pdf

Identificador

http://eprints.iisc.ernet.in/46138/1/Inf_The_Proc_1925_2011.pdf

Kashyap, Navin and Thangaraj, Andrew E (2011) On the treewidth of MDS and Reed-Muller codes. In: 2011 IEEE International Symposium on Information Theory Proceedings (ISIT), July 31 2011-Aug. 5 2011, St. Petersburg, Russia.

Publicador

IEEE

Relação

http://dx.doi.org/0.1109/ISIT.2011.6033887

http://eprints.iisc.ernet.in/46138/

Palavras-Chave #Electrical Communication Engineering
Tipo

Conference Paper

PeerReviewed