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06/29/2023
Saturating linear sets of minimal rank
Saturating sets are combinatorial objects in projective spaces over fini...
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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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01/23/2023
Outer Strong Blocking Sets
Strong blocking sets, introduced first in 2011 in connection with satura...
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12/26/2022
Twisted skew G-codes
In this paper we investigate left ideals as codes in twisted skew group ...
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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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06/29/2022
Saturating systems and the rank covering radius
We introduce the concept of a rank saturating system and outline its cor...
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02/25/2022
On ideals in group algebras: an uncertainty principle and the Schur product
In this paper we investigate some properties of ideals in group algebras...
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09/01/2021
Small Strong Blocking Sets by Concatenation
Strong blocking sets and their counterparts, minimal codes, attracted lo...
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06/23/2021
Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric
This work investigates the structure of rank-metric codes in connection ...
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10/30/2020
Three Combinatorial Perspectives on Minimal Codes
We develop three approaches of combinatorial flavour to study the struct...
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07/08/2020
The uncertainty principle over finite fields
In this paper we study the uncertainty principle (UP) connecting a funct...
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03/24/2020
Dihedral codes with prescribed minimum distance
Dihedral codes, particular cases of quasi-cyclic codes, have a nice alge...
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12/19/2019
On the algebraic structure of quasi group codes
In this note, an intrinsic description of some families of linear codes ...
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11/26/2019
A geometric characterization of minimal codes and their asymptotic performance
In this paper, we give a geometric characterization of minimal linear co...
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07/17/2019
A Note on Linear Complementary Pairs of Group Codes
We give a short and elementary proof of the fact that for a linear compl...
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07/10/2019
Minimal linear codes arising from blocking sets
Minimal linear codes are algebraic objects which gained interest in the ...
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06/18/2019
Asymptotic performance of metacyclic codes
A finite group with a cyclic normal subgroup N such that G/N is cyclic i...
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04/24/2019
Group codes over fields are asymptotically good
Group codes are right or left ideals in a group algebra of a finite grou...
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01/30/2019
On checkable codes in group algebras
We classify, in terms of the structure of the finite group G, all group ...
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07/03/2018