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03/30/2023
Constructions and equivalence of Sidon spaces
Sidon spaces have been introduced by Bachoc, Serra and Zémor in 2017 as ...
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03/29/2023
Maximum Flag-Rank Distance Codes
In this paper we extend the study of linear spaces of upper triangular m...
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03/13/2023
Geometric dual and sum-rank minimal codes
The main purpose of this paper is to further study the structure, parame...
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02/02/2023
Maximum weight codewords of a linear rank metric code
Let 𝒞⊆𝔽_q^m^n be an 𝔽_q^m-linear non-degenerate rank metric code with di...
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11/15/2022
Divisible linear rank metric codes
A subspace of matrices over 𝔽_q^e^m× n can be naturally embedded as a su...
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10/21/2022
Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras
In this paper we introduce left ideal low-rank parity-check codes by usi...
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09/27/2022
Clubs and their applications
Clubs of rank k are well-celebrated objects in finite geometries introdu...
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04/27/2022
On subspace designs
The aim of this paper is to investigate the theory of subspace designs, ...
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02/07/2022
Encoding and Decoding of Several Optimal Rank Metric Codes
This paper presents encoding and decoding algorithms for several familie...
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01/20/2022
Non-minimum tensor rank Gabidulin codes
The tensor rank of some Gabidulin codes of small dimension is investigat...
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01/18/2022
Rank-Metric Codes, Semifields, and the Average Critical Problem
We investigate two fundamental questions intersecting coding theory and ...
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12/22/2021
Two pointsets in PG(2,q^n) and the associated codes
In this paper we consider two pointsets in PG(2,q^n) arising from a line...
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12/16/2021
Multi-Sidon spaces over finite fields
Sidon spaces have been introduced by Bachoc, Serra and Zémor in 2017 in ...
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12/09/2021
The geometry of one-weight codes in the sum-rank metric
We provide a geometric characterization of k-dimensional 𝔽_q^m-linear su...
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10/15/2021
Linear maximum rank distance codes of exceptional type
Scattered polynomials of a given index over finite fields are intriguing...
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06/24/2021
Decoding a class of maximum Hermitian rank metric codes
Maximum Hermitian rank metric codes were introduced by Schmidt in 2018 a...
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05/07/2021
On interpolation-based decoding of a class of maximum rank distance codes
In this paper we present an interpolation-based decoding algorithm to de...
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04/15/2021
Extending two families of maximum rank distance codes
In this paper we provide a large family of rank-metric codes, which cont...
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03/12/2021
On the list decodability of rank-metric codes containing Gabidulin codes
Wachter-Zeh in [42], and later together with Raviv [31], proved that Gab...
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12/29/2020
Linearized trinomials with maximum kernel
Linearized polynomials have attracted a lot of attention because of thei...
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07/09/2020
Scattered subspaces and related codes
After a seminal paper by Shekeey (2016), a connection between maximum h-...
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04/22/2020
On certain linearized polynomials with high degree and kernel of small dimension
Let f be the F_q-linear map over F_q^2n defined by x x+ax^q^s+bx^q^n+s w...
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02/17/2020
Codes with few weights arising from linear sets
In this article we present a class of codes with few weights arising fro...
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01/27/2020
Connections between scattered linear sets and MRD-codes
The aim of this paper is to survey on the known results on maximum scatt...
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10/05/2019
A new family of maximum scattered linear sets in PG(1,q^6)
We generalize the example of linear set presented by the last two author...
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07/18/2019
MRD-codes arising from the trinomial x^q+x^q^3+cx^q^5∈F_q^6[x]
In [10], the existence of F_q-linear MRD-codes of F_q^6× 6, with dimensi...
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07/02/2019
On the list decodability of Rank Metric codes
Let $k,n,m \in \mathbb{Z}^+$ integers such that $k\leq n \leq m$, let $\...
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04/05/2019