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Paper detail

Structured LDPC Codes from Permutation Matrices Free of Small Trapping Sets

This paper introduces a class of structured lowdensity parity-check (LDPC) codes whose parity check matrices are arrays of permutation matrices. The permutation matrices are obtained from Latin squares and form a finite field under some matrix operations. They are chosen so that the Tanner graphs do not contain subgraphs harmful to iterative decoding algorithms. The construction of column-weight-three codes is presented. Although the codes are optimized for the Gallager A/B algorithm over the binary symmetric channel (BSC), their error performance is very good on the additive white Gaussian noise channel (AWGNC) as well.

preprint2010arXivOpen access
Dung Viet NguyenBane VasicMichael MarcellinShashi Kiran Chilappagari
math.ITInformation Theory
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Dung Viet NguyenBane VasicMichael MarcellinShashi Kiran Chilappagari

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