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08/01/2023
On MSRD codes, h-designs and disjoint maximum scattered linear sets
In this paper we study geometric aspects of codes in the sum-rank metric...
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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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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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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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12/09/2021
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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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