On decoding additive generalized twisted Gabidulin codes (Q2040309)

scientific article; zbMATH DE number 7371099

Language	Label	Description	Also known as
English	On decoding additive generalized twisted Gabidulin codes	scientific article; zbMATH DE number 7371099

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instance of

scholarly article

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title

On decoding additive generalized twisted Gabidulin codes (English)

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Cryptography and Communications

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publication date

13 July 2021

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zbMATH Keywords

rank metric

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maximum rank distance codes

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Gabidulin codes

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twisted Gabidulin codes

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generalized twisted Gabidulin codes

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s12095-020-00449-9

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cites work

Projective polynomials

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On $x^{q+1}+ax+b$

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Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

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Scalar $q$-subresultants and Dickson matrices

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

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New cyclic difference sets with Singer parameters

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Niho type cross-correlation functions via dickson polynomials and Kloosterman sums

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Q4037491

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Theory of codes with maximum rank distance

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Galois theory and linear algebra

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Characterization of $m$-Sequences of Lengths $2^{2k}-1$ and $2^{k}-1$ With Three-Valued Cross Correlation

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On the equation $x^{2^l+1}+x+a=0$ over $\mathrm{GF}(2^k)$

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$X^{2^l+1}+x+a$ and related affine polynomials over $\mathrm{GF}(2^k$)

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Coding for Errors and Erasures in Random Network Coding

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Coding and Cryptography

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Generalized twisted Gabidulin codes

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Maximum rank distance codes as space~time codes

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A characterization of the number of roots of linearized and projective polynomials in the field of coefficients

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Additive Rank Metric Codes

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On the number of roots of some linearized polynomials

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Fast operations on linearized polynomials and their applications in coding theory

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Maximum-rank array codes and their application to crisscross error correction

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Tensor codes for the rank metric

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A new family of linear maximum rank distance codes

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13. MRD codes: constructions and connections

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New semifields and new MRD codes from skew polynomial rings

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Linearized Shift-Register Synthesis

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A Rank-Metric Approach to Error Control in Random Network Coding

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Probabilistic algorithm for finding roots of linearized 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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Fast decoding of Gabidulin codes

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Linearized polynomials over finite fields revisited

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Identifiers

zbMATH Open document ID

1469.94162

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Mathematics Subject Classification ID

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10.1007/S12095-020-00449-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2040309