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06/28/2023
A proof of the Etzion-Silberstein conjecture for monotone and MDS-constructible Ferrers diagrams
Ferrers diagram rank-metric codes were introduced by Etzion and Silberst...
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05/24/2023
Strong blocking sets and minimal codes from expander graphs
A strong blocking set in a finite projective space is a set of points th...
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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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03/12/2023
Higher-degree symmetric rank-metric codes
Over fields of characteristic unequal to 2, we can identify symmetric ma...
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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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11/21/2022
Exceptional scattered sequences
The concept of scattered polynomials is generalized to those of exceptio...
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09/06/2022
New MRD codes from linear cutting blocking sets
Minimal rank-metric codes or, equivalently, linear cutting blocking sets...
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04/25/2022
Evasive subspaces, generalized rank weights and near MRD codes
We revisit and extend the connections between 𝔽_q^m-linear rank-metric c...
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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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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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05/31/2021
Sum-rank product codes and bounds on the minimum distance
The tensor product of one code endowed with the Hamming metric and one e...
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05/21/2021
Twisted Linearized Reed-Solomon Codes: A Skew Polynomial Framework
We provide an algebraic description for sum-rank metric codes, as quotie...
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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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04/07/2021
Valued rank-metric codes
In this paper, we study linear spaces of matrices defined over discretel...
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03/17/2021
Moderate Density Parity-Check Codes from Projective Bundles
A new construction for moderate density parity-check (MDPC) codes using ...
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12/21/2020
Weighted Reed-Solomon convolutional codes
In this paper we present a concrete algebraic construction of a novel cl...
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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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10/14/2020
Decoding of Interleaved Alternant Codes
Interleaved Reed-Solomon codes admit efficient decoding algorithms which...
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07/29/2020
Constructing Partial MDS Codes from Reducible Curves
We propose reducible algebraic curves as a mechanism to construct Partia...
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06/25/2020
Rank-metric codes over arbitrary Galois extensions and rank analogues of Reed-Muller codes
This paper extends the study of rank-metric codes in extension fields 𝕃 ...
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06/18/2020
Low-Rank Parity-Check Codes over Galois Rings
Low-rank parity-check (LRPC) are rank-metric codes over finite fields, w...
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02/06/2020
Roos bound for skew cyclic codes in Hamming and rank metric
In this paper, a Roos like bound on the minimum distance for skew cyclic...
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11/29/2019
Equivalence and Characterizations of Linear Rank-Metric Codes Based on Invariants
We show that the sequence of dimensions of the linear spaces, generated ...
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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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05/27/2019
Invariants and Inequivalence of Linear Rank-Metric Codes
We show that the sequence of dimensions of the linear spaces, generated ...
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04/10/2019
Tensor Representation of Rank-Metric Codes
We present the theory of rank-metric codes with respect to the 3-tensors...
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01/25/2019
New Lower Bounds for Permutation Codes using Linear Block Codes
In this paper we prove new lower bounds for the maximal size of permutat...
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05/17/2018
Systematic encoders for generalized Gabidulin codes and the q-analogue of Cauchy matrices
We characterize the generator matrix in standard form of generalized Gab...
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03/11/2018
Maximum Weight Spectrum Codes
We prove a conjecture recently proposed by Shi, Zhu, Solé and Cohen on l...
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01/17/2018