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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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11/21/2022
Exceptional scattered sequences
The concept of scattered polynomials is generalized to those of exceptio...
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11/04/2022
Minimal codewords in Norm-Trace codes
In this paper, we consider the affine variety codes obtained evaluating ...
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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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08/08/2022
Differential biases, c-differential uniformity, and their relation to differential attacks
Differential cryptanalysis famously uses statistical biases in the propa...
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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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12/06/2021
Low c-differential uniformity for functions modified on subfields
In this paper, we construct some piecewise defined functions, and study ...
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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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09/01/2021
Small Strong Blocking Sets by Concatenation
Strong blocking sets and their counterparts, minimal codes, attracted lo...
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05/08/2021
On a conjecture on APN permutations
The single trivariate representation proposed in [C. Beierle, C. Carlet,...
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11/22/2020
On cutting blocking sets and their codes
Let PG(r, q) be the r-dimensional projective space over the finite field...
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08/10/2020
On construction and (non)existence of c-(almost) perfect nonlinear functions
Functions with low differential uniformity have relevant applications in...
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04/28/2020
On the weight distribution of some minimal codes
Minimal codes are a class of linear codes which gained interest in the l...
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11/19/2019
An inductive construction of minimal codes
We provide new families of minimal codes in any characteristic. Also, an...
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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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03/05/2019
Planar Polynomials arising from Linearized polynomials
In this paper we construct planar polynomials of the type f_A,B(x)=x(x^q...
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11/16/2018
Minimal linear codes in odd characteristic
In this paper we generalize constructions in two recent works of Ding, H...
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06/15/2018
Permutation polynomials and complete permutation polynomials over F_q^3
Motivated by many recent constructions of permutation polynomials over F...
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04/02/2018
Pure gaps on curves with many rational places
We consider the algebraic curve defined by y^m = f(x) where m ≥ 2 and f(...
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02/09/2018
Minimum weight codewords in dual Algebraic-Geometric codes from the Giulietti-Korchmáros curve
In this paper we investigate the number of minimum weight codewords of s...
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12/19/2017