English
Divisible codes
Multi angle
Auteurs : Kurz, Sascha (Auteur de la Conférence)
CIRM (Editeur )
05B25 - Finite geometries, See also {51D20, 51Exx}
51E23 - Spreads and packing problems
94B05 - Linear codes, general
CIRM (Editeur )
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Résumé :
A linear code over Fq with the Hamming metric is called ∆-divisible if the weights of all codewords are divisible by ∆. They have been introduced by Harold Ward a few decades ago. Applications include subspace codes, partial spreads, vector space partitions, and distance optimal codes. The determination of the possible lengths of projective divisible codes is an interesting and comprehensive challenge.
Keywords : divisible codes; partial spreads; vector space partitions; subspace codes; finite geometry
Codes MSC : Keywords : divisible codes; partial spreads; vector space partitions; subspace codes; finite geometry
05B25 - Finite geometries, See also {51D20, 51Exx}
51E23 - Spreads and packing problems
94B05 - Linear codes, general
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Informations sur la Vidéo
Réalisateur : Petit, JeanLangue : Anglais Date de publication : 08/03/2023 Date de captation : 20/02/2023 Sous collection : Research talks arXiv category : Combinatorics ; Information Theory Domaine : Combinatorics ; Computer Science Format : MP4 (.mp4) - HD Durée : 01:04:17 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-02-20_kurz.mp4 
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Informations sur la Rencontre
Nom de la rencontre : ALCOCRYPTOrganisateurs de la rencontre : Bonnecaze, Alexis ; Mesnager, Sihem ; Solé, Patrick Dates : 20/02/2023 - 24/02/2023 Année de la rencontre : 2023 URL Congrès : https://conferences.cirm-math.fr/2804.html
Données de citation
DOI : 10.24350/CIRM.V.20006403Citer cette vidéo: Kurz, Sascha (2023). Divisible codes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20006403 URI : http://dx.doi.org/10.24350/CIRM.V.20006403 |
Voir aussi
- [Multi angle] Almost there: capacity of private information retrieval from coded and colluding servers / Auteur de la Conférence Hollanti, Camilla.
- [Multi angle] Projective Reed Muller codes revisited / Auteur de la Conférence Ghorpade, Sudhir.
- [Multi angle] On APN and AB power functions / Auteur de la Conférence Budaghyan, Lilya.
Bibliographie
- KURZ, Sascha. Divisible codes. arXiv preprint arXiv:2112.11763, 2021. - https://doi.org/10.48550/arXiv.2112.11763
- KIERMAIER, Michael et KURZ, Sascha. On the lengths of divisible codes. IEEE Transactions on Information Theory, 2020, vol. 66, no 7, p. 4051-4060. - https://doi.org/10.1109/TIT.2020.2968832
- HONOLD, Thomas, KIERMAIER, Michael, et KURZ, Sascha. Partial spreads and vector space partitions. Springer International Publishing, 2018. - http://dx.doi.org/10.1007/978-3-319-70293-3_7
- HONOLD, Thomas, KIERMAIER, Michael, KURZ, Sascha, et al. The lengths of projective triply-even binary codes. IEEE Transactions on Information Theory, 2019, vol. 66, no 5, p. 2713-2716. - https://doi.org/10.1109/TIT.2019.2940967
- KURZ, Sascha et MATTHEUS, Sam. A generalization of the cylinder conjecture for divisible codes. IEEE Transactions on Information Theory, 2021, vol. 68, no 4, p. 2281-2289. - https://doi.org/10.1109/TIT.2021.3134201
- BOUYUKLIEV, Iliya, BOUYUKLIEVA, Stefka, et KURZ, Sascha. Computer classification of linear codes. IEEE Transactions on Information Theory, 2021, vol. 67, no 12, p. 7807-7814. - https://doi.org/10.1109/TIT.2021.3114280
- KURZ, Sascha. No projective 16-divisible binary linear code of length 131 exists. IEEE Communications Letters, 2020, vol. 25, no 1, p. 38-40. - https://doi.org/10.1109/LCOMM.2020.3021939
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