Permutations via linear translators

Autor: Cepak, Nastja, Charpin, Pascale, Pasalic, Enes

We show that many infinite classes of permutations over finite fields can be constructed via translators with a large choice of parameters. We first charac- terize some functions having linear translators, based on which several families of permutati

Externí odkaz: http://arxiv.org/abs/1609.09291

Differential properties of functions x -> x^{2^t-1} -- extended version

Autor: Blondeau, Céline, Canteaut, Anne, Charpin, Pascale

We provide an extensive study of the differential properties of the functions $x\mapsto x^{2^t-1}$ over $\F$, for $2 \leq t \leq n-1$. We notably show that the differential spectra of these functions are determined by the number of roots of the linea

Externí odkaz: http://arxiv.org/abs/1108.4753

Sparse permutations with low differential uniformity

Autor: Charpin, Pascale, Kyureghyan, Gohar M., Suder, Valentin

Publikováno v: In Finite Fields and Their Applications July 2014 28:214-243

Divisibility properties of classical binary Kloosterman sums

Autor: Charpin, Pascale, Helleseth, Tor, Zinoviev, Victor

Publikováno v: In Discrete Mathematics 2009 309(12):3975-3984

Crooked functions

Autor: Charpin, Pascale

Publikováno v: Finite Fields and Theirs Applications
Finite Fields Applications
Proceedings of the 14th International Conference on Finite Fields and their Applications
Proceedings of the 14th International Conference on Finite Fields and their Applications, Jun 2021, Vancouver, Canada. pp.87-102, ⟨10.1515/9783110621730-007⟩
Proceedings of the 14th International Conference on Finite Fields and their Applications, Jun 2019, Vancouver, Canada. pp.87-102, ⟨10.1515/9783110621730-007⟩
Finite Fields and their Applications ISBN: 9783110621730

International audience; Crooked permutations were introduced twenty years ago since they allow to construct interesting objects in graph theory. The field of applications was extended later. Crooked functions, bijective or not, correspond to APN func

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f15e45635bdacaaee49f007f638ba41
https://hal.inria.fr/hal-02337711