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A modified Blahut algorithm for decoding Reed-Solomon codes beyond the half the minimum distance

Research output: Contribution to journalJournal article

Published

Journal publication date1/12/2004
JournalIEEE Transactions on Communications
Journal number12
Volume52
Number of pages5
Pages2052-2056
Original languageEnglish

Abstract

A modification of the Blahut algorithm is proposed for decoding of Reed-Solomon codes beyond half the minimum distance. An effective method is offered for the searching of unknown discrepancies needed for analytical continuation of the Berlekamp-Massey algorithm through two additional iterations. This reduces the search time by 2(q-1)n/((n+t+1)(n-t)) times, compared with the Blahut algorithm. An architecture of a searcher for unknown discrepancies is given. The coding gain of the proposed algorithm is shown for some practical codes.

Bibliographic note

This paper describes a new decoding algorithm that allows the decoding of Reed-Solomon codes beyond the conventional error correction bound. The results of this research was implemented in the professional DVB-S receivers and as a VHDL code offered to customers. RAE_import_type : Journal article RAE_uoa_type : Electrical and Electronic Engineering