Algebraic immunity of vectorial Boolean functions and Boolean Groebner bases

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dc.contributor.authorAlekseychuk, A. N.
dc.date.accessioned2020-10-15T13:59:22Z
dc.date.available2020-10-15T13:59:22Z
dc.date.issued2020
dc.description.abstractenThe basic concepts and results related to the Boolean Groebner bases and their application for computing the algebraic immunity of vectorial Boolean functions are considered. This parameter plays an important role for the security evaluation of block ciphers against algebraic attacks. Unlike the available works, the description is carried out at the elementary level using terms of Boolean functions theory. In addition, obtained proofs are shorter than the previous ones. This allows us to achieve significant progress in building the fundamentals of the theory (for the Boolean case) using only elementary methods. The paper can be useful for students and postgraduate students studying cryptology. It may also save time for professionals who want to get familiar with the mathematical techniques used in algebraic attacks on block ciphers.uk
dc.format.pagerangePp. 10-14uk
dc.identifier.citationAlekseychuk, A. N. Algebraic immunity of vectorial Boolean functions and Boolean Groebner bases / A. N. Alekseychuk // Theoretical and Applied Cybersecurity : scientific journal. – 2020. – Vol. 2, Iss. 1. – Pp. 10–14. – Bibliogr.: 10 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132020.1.209431
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/36787
dc.language.isoenuk
dc.publisherIgor Sikorsky Kyiv Polytechnic Instituteuk
dc.publisher.placeKyivuk
dc.sourceTheoretical and Applied Cybersecurity : scientific journal, 2020, Vol. 2, No. 1uk
dc.subjectalgebraic cryptoanalysisuk
dc.subjectvectorial Boolean functionuk
dc.subjectGroebner basisuk
dc.subjectalgebraic immunityuk
dc.subject.udc519.7uk
dc.titleAlgebraic immunity of vectorial Boolean functions and Boolean Groebner basesuk
dc.typeArticleuk

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 2, No. 1