List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codes
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codesDate
2012-01-30Publisher
American Institute of Mathematical SciencesType
info:eu-repo/semantics/articleVersion
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Abstract
A list decoding algorithm for matrix-product codes is provided when C1, . . . , Cs are nested linear codes and A is a non-singular by columns matrix. We estimate the probability of getting more than one codeword as ... [+]
A list decoding algorithm for matrix-product codes is provided when C1, . . . , Cs 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 [-]
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ADVANCES IN MATHEMATICS OF COMMUNICATIONS, v. 6, n. 3Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [751]