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A survey of metaheuristic algorithms for the design of cryptographic Boolean functions

Marko Djurasevic, Domagoj Jakobović, Luca Mariot, Stjepan Picek

2023Cryptography and Communications20 citationsDOIOpen Access PDF

Abstract

Abstract Boolean functions are mathematical objects used in diverse domains and have been actively researched for several decades already. One domain where Boolean functions play an important role is cryptography. There, the plethora of settings one should consider and cryptographic properties that need to be fulfilled makes the search for new Boolean functions still a very active domain. There are several options to construct appropriate Boolean functions: algebraic constructions, random search, and metaheuristics. In this work, we concentrate on metaheuristic approaches and examine the related works appearing in the last 25 years. To the best of our knowledge, this is the first survey work on this topic. Additionally, we provide a new taxonomy of related works and discuss the results obtained. Finally, we finish this survey with potential future research directions.

Topics & Concepts

Boolean functionMetaheuristicComputer scienceCryptographyBoolean expressionTheoretical computer scienceDomain (mathematical analysis)Circuit minimization for Boolean functionsStandard Boolean modelBoolean networkAlgorithmMathematicsMathematical analysisCoding theory and cryptographyCryptographic Implementations and Securitygraph theory and CDMA systems
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