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20062025
most citedAlgebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus

9 citations · 11 across the 8 of their papers we have counts for

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math.NT2024

Trinomials with high differential uniformity

Yves Aubry, Fabien Herbaut, Ali Issa

Comparisons of arithmetic and geometric monodromy groups coupled with the Chebotarev density theorem enable to obtain families of trinomials defined over finite fields of even char…

math.NT2022

Polynomials with maximal differential uniformity and the exceptional APN conjecture

Yves Aubry, Fabien Herbaut, Ali Issa

We contribute to the exceptional APN conjecture by showing that no polynomial of degree m = 2 r (2 {\ell} + 1) where gcd(r, {\ell}) 2, r 2, {\ell} 1 with a nonzero second leading c…

math.NT2017

Maximal differential uniformity polynomials

Yves Aubry, Fabien Herbaut, Jose Felipe Voloch

We provide an explicit infinite family of integers such that all the polynomials of of degree have maximal differential uniformity for large enou…