Fast Decoding Algorithms for First Order Reed-Muller and Related Codes

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1996 English Publisher:Springer Science and Business Media LLCJournal:Designs, Codes and Cryptography, volume 7, pages 187-214 (issn: 0925-1022, eissn: 1573-7586,

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Authors: Alexei E. Ashikhmin; Simon Litsyn;

doi: 10.1023/a:1018057506207 , 10.1007/bf00124511

Fast Decoding Algorithms for First Order Reed-Muller and Related Codes

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Abstract

The authors provide fast decoding algorithms for first order Reed-Muller codes and for the Nordstrom-Robinson code. These algorithms are modifications of maximum likelihood decoding and involve only real number operations, more specifically, only additions, subtractions, comparisons and calculations of absolute values.

Related Organizations

Tel Aviv University
Israel
Institute for Information Transmission Problems
Russian Federation

Keywords

Decoding, fast decoding algorithms, first order Reed-Muller codes, Nordstrom-Robinson code

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