Polynesian Journal of Mathematics

Volume 1, Issue 2

Differential uniformity of polynomials of degree 10

Yves Aubry

Abstract:

We prove that polynomials of degree 10 over finite fields of even characteristic with some conditions on their coefficients have a differential uniformity greater than or equal to 6 over ${𝔽}_{2^n}$ for all $n$ sufficiently large.

Keywords: Differential uniformity, monodromy groups, Chebotarev theorem.

Citation:

Yves Aubry. Differential uniformity of polynomials of degree 10. Polynesian Journal of Mathematics, Volume 1, Issue 2, Pages 1–12. (Nov. 2024) DOI: 10.69763/polyjmath.1.2

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Milestones:

Received 15 Nov 2024
Accepted 27 Nov 2024
Published 29 Nov 2024
Communicated by Gaetan Bisson

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