On maximum additive Hermitian rank-metric codes (Q2045065)

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Language	Label	Description	Also known as
English	On maximum additive Hermitian rank-metric codes	scientific article

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scholarly article

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On maximum additive Hermitian rank-metric codes (English)

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Ferdinando Zullo

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Rocco Trombetti

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Journal of Algebraic Combinatorics

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publication date

11 August 2021

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full work available at URL

https://arxiv.org/abs/2001.06628

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zbMATH Keywords

Hermitian matrix

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rank metric code

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linearized polynomial

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MaRDI profile type

MaRDI publication profile

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A new family of maximum scattered linear sets in PG(1, q^6)

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Representations by hermitian forms in a finite field

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Scalar \(q\)-subresultants and Dickson matrices

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A new family of MRD-codes

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A characterization of linearized polynomials with maximum kernel

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New maximum scattered linear sets of the projective line

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Commutative presemifields and semifields

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Bilinear forms over a finite field, with applications to coding theory

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Alternating bilinear forms over GF(q)

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Theory of codes with maximum rank distance

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Galois extensions and subspaces of alternating bilinear forms with special rank properties

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Galois theory and linear algebra

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Automorphism groups of Gabidulin-like codes

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Automorphism groups and new constructions of maximum additive rank metric codes with restrictions

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Symplectic semifield spreads of \(\mathrm{PG}(5,q)\) and the Veronese surface

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Generalized twisted Gabidulin codes

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On kernels and nuclei of rank metric codes

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MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x]\)

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On the number of roots of some linearized polynomials

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A new family of linear maximum rank distance codes

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Symmetric bilinear forms over finite fields of even characteristic

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Symmetric bilinear forms over finite fields with applications to coding theory

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Hermitian rank distance codes

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On the number of inequivalent Gabidulin codes

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A partially ordered set and q-Krawtchouk polynomials

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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> <tex-math notation="LaTeX">$\mathbb F_{q^n}$ </tex-math> </inline-formula>

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Vertex properties of maximum scattered linear sets of \(\mathrm{PG} ( 1 , q^n )\)

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On equivalence of maximum additive symmetric rank-distance codes

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A new family of semifields with 2 parameters

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Identifiers

zbMATH Open document ID

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10.1007/s10801-020-00973-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2045065

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