List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codes

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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A list decoding algorithm for matrix-product codes is provided when $C_1,..., C_s$ are nested linear codes and $A$ is a non-singular by columns matrix. We estimate the probability of getting more than one codeword as output when the constituent codes are Reed-Solomon codes. We extend this list decoding algorithm for matrix-product codes with polynomial units, which are quasi-cyclic codes. Furthermore, it allows us to consider unique decoding for matrix-product codes with polynomial units.
Original languageEnglish
JournalAdvances in Mathematics of Communication
Publication date2012
Volume6
Journal number3
Pages259-272
ISSN1930-5346
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 0
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