Affiliation:
1. Information Security Institute of Lomonosov University, Moscow, Russia
Abstract
AbstractA new equivalence relation on the set of Boolean functions is introduced: functions are declared to be Δ-equivalent if their autocorrelation functions are equal. It turns out that this classification agrees well with the cryptographic properties of Boolean functions: for functions belonging to the same Δ-equivalence class a number of their cryptographic characteristics do coincide. For example, all bent-functions (of a fixed number of variables) make up one class.
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
4 articles.
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1. Cryptographic Strength Study of the Pseudorandom Sequences Generator Based on the Blender Algorithm;2022 14th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT);2022-10-11
2. Curvature of the Boolean majority function;Discrete Mathematics and Applications;2022-10-01
3. On some properties of the curvature and nondegeneracy of Boolean functions;Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography];2022-06
4. Polygons characterizing the joint statistical properties of the input and output sequences of the binary shift register;The 4th International Conference on Future Networks and Distributed Systems (ICFNDS);2020-11-26