Critical Pairs for the Product Singleton Bound
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Centrum voor Wiskunde en Informatica [CWI] | |
| hal.structure.identifier | Universiteit Leiden = Leiden University | |
| dc.contributor.author | MIRANDOLA, Diego | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ZÉMOR, Gilles | |
| dc.date.accessioned | 2024-04-04T03:15:18Z | |
| dc.date.available | 2024-04-04T03:15:18Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2016 | |
| dc.date.conference | 2015-04-13 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194140 | |
| dc.description.abstractEn | We characterize Product-MDS pairs of linear codes, i.e. pairs of codes C, D whose product under coordinatewise multiplication has maximum possible minimum distance as a function of the code length and the dimensions dim C, dim D. We prove in particular, for C = D, that if the square of the code C has minimum distance at least 2, and (C, C) is a Product-MDS pair, then either C is a generalized Reed-Solomon code, or C is a direct sum of self-dual codes. In passing we establish coding-theory analogues of classical theorems of additive combinatorics. | |
| dc.language.iso | en | |
| dc.subject.en | Error-correcting codes | |
| dc.subject.en | Schur-product codes | |
| dc.subject.en | Product Singleton Bound | |
| dc.title.en | Critical Pairs for the Product Singleton Bound | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | WCC2015 - 9th International Workshop on Coding and Cryptography 2015 | |
| bordeaux.country | FR | |
| bordeaux.conference.city | Paris | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01276221 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2015-04-17 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01276221v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2016&rft.au=MIRANDOLA,%20Diego&Z%C3%89MOR,%20Gilles&rft.genre=unknown |
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