Genetic Approach to Improve Cryptographic Properties of Balanced Boolean Functions Using Bent Functions

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dc.authoridKutucu, Hakan/0000-0001-7144-7246
dc.authoridKavut, Selcuk/0000-0002-9460-1418
dc.contributor.authorOzcekic, Erol
dc.contributor.authorKavut, Selcuk
dc.contributor.authorKutucu, Hakan
dc.date.accessioned2024-09-29T16:08:05Z
dc.date.available2024-09-29T16:08:05Z
dc.date.issued2023
dc.departmentKarabük Üniversitesien_US
dc.description.abstractRecently, balanced Boolean functions with an even number n of variables achieving very good autocorrelation properties have been obtained for 12 <= n <= 26. These functions attain the maximum absolute value in the autocorrelation spectra (without considering the zero point) less than 2 n2 and are found by using a heuristic search algorithm that is based on the design method of an infinite class of such functions for a higher number of variables. Here, we consider balanced Boolean functions that are closest to the bent functions in terms of the Hamming distance and perform a genetic algorithm efficiently aiming to optimize their cryptographic properties, which provides better absolute indicator values for all of those values of n for the first time. We also observe that among our results, the functions for 16 <= n <= 26 have nonlinearity greater than 2n 1 2 n2. In the process, our search strategy produces balanced Boolean functions with the best-known nonlinearity for 8 <= n <= 16.en_US
dc.identifier.doi10.3390/computers12080159
dc.identifier.issn2073-431X
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85169013935en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/computers12080159
dc.identifier.urihttps://hdl.handle.net/20.500.14619/7342
dc.identifier.volume12en_US
dc.identifier.wosWOS:001056773400001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofComputersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectabsolute indicatoren_US
dc.subjectBoolean functionen_US
dc.subjectgenetic algorithmen_US
dc.subjectnonlinearityen_US
dc.titleGenetic Approach to Improve Cryptographic Properties of Balanced Boolean Functions Using Bent Functionsen_US
dc.typeArticleen_US

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