Publication: New advances in permutation decoding of first-order Reed-Muller codes
| dc.contributor | Simón Pinero, Juan Jacobo | |
| dc.contributor.author | Bernal Buitrago, José Joaquín | |
| dc.contributor.department | Matemáticas | |
| dc.date.accessioned | 2024-01-22T15:56:55Z | |
| dc.date.available | 2024-01-22T15:56:55Z | |
| dc.date.issued | 2023 | |
| dc.description | ©2023. “Once the embargo has passed this document Will be available under the CC-BY-NC-ND 4.0 license. http://creativecommons.org/licenses/by-nc-nd/4.0/”. This document is the Accepted, version of a Published Work that appeared in final form in Finite Fields and Their Applications. To access the final edited and published work see https://doi.org/10.1016/j.ffa.2023.102182 | es |
| dc.description.abstract | In this paper we describe a variation of the classical permutation decoding algorithm that can be applied to any affine-invariant code with respect to certain type of information sets. In particular, we can apply it to the family of first-order Reed-Muller codes with respect to the information sets introduced in \cite{BS}. Using this algortihm we improve considerably the number of errors we can correct in comparison with the known results in this topic. | es |
| dc.embargo.terms | 2025-06-01 | |
| dc.format | application/pdf | es |
| dc.format.extent | 8 | es |
| dc.identifier.citation | Finite Fields Appl. Vol. 88. 14 páginas. Artículo 102182. 2023. | |
| dc.identifier.doi | https://doi.org/10.1016/j.ffa.2023.102182 | |
| dc.identifier.issn | 1090-2465 | |
| dc.identifier.issn | 1071-5797 | |
| dc.identifier.uri | http://hdl.handle.net/10201/137524 | |
| dc.language | eng | es |
| dc.publisher | Elsevier | es |
| dc.relation | PID2020-113206GBI00 MCIN/AEI/10.13039/501100011033 | es |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1071579723000242 | es |
| dc.rights | info:eu-repo/semantics/embargoedAccess | es |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Permutation decoding | es |
| dc.subject | Reed Muller codes | es |
| dc.subject | Algorithms | es |
| dc.subject.other | CDU::5 - Ciencias puras y naturales::51 - Matemáticas::512 - Álgebra | es |
| dc.title | New advances in permutation decoding of first-order Reed-Muller codes | es |
| dc.type | info:eu-repo/semantics/article | es |
| dspace.entity.type | Publication | es |
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