Rank-Metric Codes Over Arbitrary Galois Extensions and Rank Analogues of Reed--Muller Codes-Reference-Cited by-同舟云学术

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Rank-Metric Codes Over Arbitrary Galois Extensions and Rank Analogues of Reed--Muller Codes

Published:2021-01 Issue:2 Volume:5 Page:165-199
ISSN:2470-6566
Container-title:SIAM Journal on Applied Algebra and Geometry
language:en
Short-container-title:SIAM J. Appl. Algebra Geometry

Author:

Augot Daniel,Couvreur Alain,Lavauzelle Julien,Neri Alessandro^ORCID

Funder

French Direction Generale l'Armement through the Pole d'excellence cyber

Swiss National Science Foundation

Agence Nationale de la Recherche

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1348583

Reference36 articles.

1. Roos bound for skew cyclic codes in Hamming and rank metric

2. Covering the Cube by Affine Hyperplanes

3. Covering Radius of Matrix Codes Endowed with the Rank Metric

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Evasive subspaces, generalized rank weights and near MRD codes;Discrete Mathematics;2023-12

2. Valued rank-metric codes;Journal of Algebra and Its Applications;2023-11-24

3. Fast Kötter–Nielsen–Høholdt interpolation over skew polynomial rings and its application in coding theory;Designs, Codes and Cryptography;2023-11-18

4. Division algebras and MRD codes from skew polynomials;Glasgow Mathematical Journal;2023-04-20

5. Twisted linearized Reed-Solomon codes: A skew polynomial framework;Journal of Algebra;2022-11

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