A New Family of MRD Codes in <inline-formula> <tex-math notation="LaTeX">$\mathbb{F_q}^{2n\times2n}$ </tex-math> </inline-formula> With Right and Middle Nuclei <inline-formula>
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Publication:4615364
DOI10.1109/TIT.2018.2853184zbMath1427.94106arXiv1709.03908MaRDI QIDQ4615364
Publication date: 28 January 2019
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03908
Related Items (20)
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 ⋮ Extending two families of maximum rank distance codes ⋮ 50 years of translation structures ⋮ Twisted linearized Reed-Solomon codes: a skew polynomial framework ⋮ MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x\)] ⋮ Automorphism groups and new constructions of maximum additive rank metric codes with restrictions ⋮ Nuclei and automorphism groups of generalized twisted Gabidulin codes ⋮ Identifiers for MRD-codes ⋮ A characterization of the number of roots of linearized and projective polynomials in the field of coefficients ⋮ Constructions of optimal rank-metric codes from automorphisms of rational function fields ⋮ New semifields and new MRD codes from skew polynomial rings ⋮ On decoding additive generalized twisted Gabidulin codes ⋮ On maximum additive Hermitian rank-metric codes ⋮ On the sparseness of certain linear MRD codes ⋮ MRD codes with maximum idealizers ⋮ Asymptotics of Moore exponent sets ⋮ An asymptotically optimal construction of almost affinely disjoint subspaces ⋮ Binary additive MRD codes with minimum distance \(n-1\) must contain a semifield spread set ⋮ Encoding and decoding of several optimal rank metric codes
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