Highly nonlinear (vectorial) Boolean functions that are symmetric under some permutations | Zendy

Selçuk Kavut | Zendy; Seher Tutdere | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Highly nonlinear (vectorial) Boolean functions that are symmetric under some permutations

Author(s) -

Selçuk Kavut,

Seher Tutdere

Publication year - 2019

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2020010

Subject(s) - mathematics , bijection , boolean function , dimension (graph theory) , symmetric function , combinatorics , involution (esoterism) , nonlinear system , heuristic , discrete mathematics , pure mathematics , mathematical optimization , physics , quantum mechanics , politics , political science , law

We first give a brief survey of the results on highly nonlinear single-output Boolean functions and bijective S-boxes that are symmetric under some permutations. After that, we perform a heuristic search for the symmetric (and involution) S-boxes which are bijective in dimension 8 and identify corresponding permutations yielding rich classes in terms of cryptographically desirable properties.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research