Alain Couvreur

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20232026

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math.NT2024

Freiman's $3 k - 4$ Theorem for Function Fields

Alain Couvreur, Gilles Zémor

Freiman's $3 k - 4$ Theorem states that if a subset $A$ of $k$ integers has a Minkowski sum $A + A$ of size at most $3 k - 4$ , then it must be contained in a short arithmetic progression.…

cs.CR2024

MinRank Gabidulin encryption scheme on matrix codes

Nicolas Aragon, Alain Couvreur, Victor Dyseryn +2

The McEliece scheme is a generic frame which allows to use any error correcting code of which there exists an efficient decoding algorithm to design an encryption scheme by hiding…

Freiman's 3k−4 Theorem for Function Fields

MinRank Gabidulin encryption scheme on matrix codes

Freiman's $3 k - 4$ Theorem for Function Fields