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Maximum scattered linear sets and MRD-codes (Q1686219)

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Language	Label	Description	Also known as
English	Maximum scattered linear sets and MRD-codes	scientific article

Statements

scholarly article

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Maximum scattered linear sets and MRD-codes (English)

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Ferdinando Zullo

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Giuseppe Marino

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Journal of Algebraic Combinatorics

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publication date

21 December 2017

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full work available at URL

https://arxiv.org/abs/1701.06831

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zbMATH Keywords

linear set

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maximum rank distance (MRD) codes

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scattered spaces

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MaRDI profile type

MaRDI publication profile

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Linear \((q+1)\)-fold blocking sets in \(\text{PG} (2,q^4)\)

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Maximum scattered linear sets and complete caps in Galois spaces

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Isometries for rank distance and permutation group of gabidulin codes

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Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)

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On two-intersection sets with respect to hyperplanes in projective spaces

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The twisted cubic in \(PG(3,q)\) and translation spreads in \(H\)(\(q\))

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\(\mathbb F _q\)-linear blocking sets in \(PG(2,q^4)\)

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The Geometry of Two-Weight Codes

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Spreads in \(H(q)\) and 1-systems of \(Q(6,q)\)

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Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\)

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Classes and equivalence of linear sets in \(\mathrm{PG}(1,q^{n})\)

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On the equivalence of linear sets

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On scattered linear sets of pseudoregulus type in \(\operatorname{PG}(1,q^{t})\)

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

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Infinite families of new semifields

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Theory of codes with maximum rank distance

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Laguerre planes of even order and translation ovals

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Coding for Errors and Erasures in Random Network Coding

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Scattered spaces in Galois geometry

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\(\mathbb F_q\)-pseudoreguli of PG\((3,q^{3})\) and scattered semifields of order \(q^{6}\)

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Solution to An Isotopism Question Concerning Rank 2 Semifields

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The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution

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On linear sets on a projective line

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Scattered linear sets and pseudoreguli

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Translation ovoids of orthogonal polar spaces

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Linear \(k\)-blocking sets

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Translation ovoids

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MRD-codes and linear sets

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Maximum scattered linear sets of pseudoregulus type and the Segre variety \(\mathcal{S}_{n,n}\)

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Blocking sets of size \(q^t + q^{t-1} + 1\)

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Generalized twisted Gabidulin codes

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On translation spreads of \(H(q)\)

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On \(\mathbb F_q\)-linear sets of \(\text{PG}(3,q^{3})\) and semifields

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Equivalence for Rank-Metric and Matrix Codes and Automorphism Groups of Gabidulin Codes

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Linear sets in finite projective spaces

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On small blocking sets

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A new family of linear maximum rank distance codes

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Identifiers

zbMATH Open document ID

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10.1007/s10801-017-0762-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1686219

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