Differential uniformity of polynomials of degree 10

Yves Aubry (1, 2)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134
2 I2M - Institut de Mathématiques de Marseille

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

Mots clés: Differential uniformity; Monodromy groups; Chebotarev theorem; 2010 Mathematics Subject Classification. Primary 11T06; Secondary 11T71 14G50 Differential uniformity monodromy groups Chebotarev theorem; Secondary 11T71; 14G50 Differential uniformity; monodromy groups

Domaines: Théorie des nombres [math.NT]

Yves Aubry. Differential uniformity of polynomials of degree 10. 2024. ⟨hal-04789781⟩