publication . Conference object . Preprint . 2008

Min-Max decoding for non binary LDPC codes

Valentin Savin;
Open Access
  • Published: 07 Mar 2008
  • Publisher: IEEE
Abstract
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.
doi: 10.1109/isit.2008.4595129
Subjects
arXiv: Computer Science::Information Theory
free text keywords: Computer Science - Information Theory, Mathematics, Serial concatenated convolutional codes, Low-density parity-check code, List decoding, Concatenated error correction code, Decoding methods, Galois theory, Theoretical computer science, Sequential decoding, Algorithm, Berlekamp–Welch algorithm
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