Min-Max decoding for non binary LDPC codes

Computer Science – Information Theory

Scientific paper

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5 pages, ISIT08 version v2: acknowledgement footnote, and appendix containing proofs of some statements in the paper

Scientific paper

Iterative decoding of non-binary LDPC codes is currently performed using either the Sum-Product or the Min-Sum algorithms or slightly different versions of them. In this paper, several low-complexity quasi-optimal iterative algorithms are proposed for decoding non-binary codes. The Min-Max algorithm is one of them and it has the benefit of two possible LLR domain implementations: a standard implementation, whose complexity scales as the square of the Galois field's cardinality and a reduced complexity implementation called selective implementation, which makes the Min-Max decoding very attractive for practical purposes.

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