Duals of linearized Reed-Solomon codes
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | CARUSO, Xavier | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | DURAND, Amaury | |
| dc.date.accessioned | 2024-04-04T02:44:37Z | |
| dc.date.available | 2024-04-04T02:44:37Z | |
| dc.date.issued | 2023 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191423 | |
| dc.description.abstractEn | We give a description of the duals of linearized Reed-Solomon codes in terms of codes obtained by taking residues of Ore rational functions. Our construction shows in particular that, under some assumptions on the base field, the class of linearized Reed-Solomon codes is stable under duality. As a byproduct of our work, we develop a theory of residues in the Ore setting. | |
| dc.description.sponsorship | Correspondance de Langlands p-adique : une approche constructive et algorithmique - ANR-18-CE40-0026 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.title.en | Duals of linearized Reed-Solomon codes | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10623-022-01102-7 | |
| dc.subject.hal | Mathématiques [math]/Anneaux et algèbres [math.RA] | |
| dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
| dc.identifier.arxiv | 2110.12675 | |
| bordeaux.journal | Designs, Codes and Cryptography | |
| bordeaux.page | 241-271 | |
| bordeaux.volume | 91 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03395402 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03395402v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Designs,%20Codes%20and%20Cryptography&rft.date=2023&rft.volume=91&rft.issue=1&rft.spage=241-271&rft.epage=241-271&rft.eissn=0925-1022&rft.issn=0925-1022&rft.au=CARUSO,%20Xavier&DURAND,%20Amaury&rft.genre=article |
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