New semifields and new MRD codes from skew polynomial rings
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Publication:5108156
DOI10.1112/jlms.12281zbMath1475.12014arXiv1806.00251OpenAlexW2806875065MaRDI QIDQ5108156
Publication date: 29 April 2020
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.00251
Related Items (17)
On the list decodability of rank-metric codes containing Gabidulin codes ⋮ Equivalence, group of automorphism and invariants of a family of rank metric codes arising from linearized polynomials ⋮ Common Complements of Linear Subspaces and the Sparseness of MRD Codes ⋮ Twisted linearized Reed-Solomon codes: a skew polynomial framework ⋮ Identifiers for MRD-codes ⋮ A characterization of the number of roots of linearized and projective polynomials in the field of coefficients ⋮ Rank-Metric Codes, Semifields, and the Average Critical Problem ⋮ Constructions of optimal rank-metric codes from automorphisms of rational function fields ⋮ Division algebras and MRD codes from skew polynomials ⋮ Counting the number of non-isotopic Taniguchi semifields ⋮ Equivalence and characterizations of linear rank-metric codes based on invariants ⋮ On decoding additive generalized twisted Gabidulin codes ⋮ Scattered subspaces and related codes ⋮ Systematic encoders for generalized Gabidulin codes and the \(q\)-analogue of Cauchy matrices ⋮ Asymptotics of Moore exponent sets ⋮ A geometric approach to rank metric codes and a classification of constant weight codes ⋮ Rank-Metric Codes and Their Applications
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