Differential uniformity of polynomials of degree 10

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.

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Bibliographic Details
Published inPolynesian Journal of Mathematics Vol. 1; no. 2; pp. 1 - 13
Main Author Aubry, Yves
Format Journal Article
LanguageEnglish
Published 29.11.2024
Subjects
Mathematics
Number Theory
Monodromy groups
Chebotarev theorem
Secondary 11T71
Differential uniformity
2010 Mathematics Subject Classification. Primary 11T06
Secondary 11T71 14G50 Differential uniformity monodromy groups Chebotarev theorem
14G50 Differential uniformity
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Summary: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.
ISSN:3075-3422
3075-3422
DOI:10.69763/polyjmath.1.2