DocumentCode
640249
Title
Pseudocodewords from Bethe permanents
Author
Smarandache, Roxana
Author_Institution
Depts. of Math. & Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA
fYear
2013
fDate
7-12 July 2013
Firstpage
2059
Lastpage
2063
Abstract
It was recently conjectured that a vector with components equal to the Bethe permanent of certain submatrices of a parity-check matrix is a pseudocodeword. In this paper, we analyze some important cases for which the conjecture is true and investigate the obtained families of pseudocodewords.
Keywords
matrix algebra; parity check codes; vectors; Bethe permanents; parity-check matrix; pseudocodeword; submatrices; vector; Approximation methods; Linear codes; Linear matrix inequalities; Parity check codes; Upper bound; Vectors; Bethe-permanents; permanents; pseudocode-words;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location
Istanbul
ISSN
2157-8095
Type
conf
DOI
10.1109/ISIT.2013.6620588
Filename
6620588
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