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04/18/2023
Number Theoretical Locally Recoverable Codes
In this paper we give constructions for infinite sequences of finite non...
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03/23/2023
On complete m-arcs
Let m be a positive integer and q be a prime power. For large finite bas...
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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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07/21/2022
Optimal locally recoverable codes with hierarchy from nested F-adic expansions
In this paper we construct new optimal hierarchical locally recoverable ...
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04/03/2021
Optimal Selection for Good Polynomials of Degree up to Five
Good polynomials are the fundamental objects in the Tamo-Barg constructi...
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02/02/2020
Exceptional scatteredness in prime degree
Let q be an odd prime power and n be a positive integer. Let ℓ∈F_q^n[x] ...
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12/29/2019
The Algebraic Theory of Fractional Jumps
In this paper we start by briefly surveying the theory of Fractional Jum...
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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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10/06/2018
Cryptanalysis of the DHDP and EGDP protocols over E_p^(m)
In this paper we break the protocol based on the Diffie-Hellman Decompos...
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06/29/2018
Constructions of Locally Recoverable Codes which are Optimal
We provide a Galois theoretical framework which allows to produce good p...
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05/08/2018
