On the Generator of Stable Cubical Multivariate Encryption Maps Over Boolean Rings for Protection of Large Information System

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dc.contributor.authorUstimenko, Vasyl
dc.contributor.authorKlisowski, Michal
dc.date.accessioned2023-05-11T13:16:16Z
dc.date.available2023-05-11T13:16:16Z
dc.date.issued2021
dc.description.abstractEncryption based on Walks in Algebraic GRAphs (EWAGRA) is used for protection of authors' rights, access to electronic books or documents located at a certain knowledge base (Information Quality Assurance Support Systems of a university, digital library supporting distance education, various digital archives and etc). The method allows generating nonlinear stream ciphers, which have some similarities with a one-time pad: different keys produce distinct ciphertexts from the same plaintext. In contrast to the case of a one-time pad, the length of the key is flexible and the encryption map is a nonlinear poly- nomial map, which order is growing with the growth of the dimension n of the plaintext space. The encryption has good resistance to attacks of the adversary when he has no access to plaintext space or has a rather small number of intercepted plaintext- ciphertext pairs. It is known that encryption and decryption maps are cubical maps. So, interception of n3 + O(n) plaintext-ciphertext pairs allows conducting a plain linearization attack for finding the inverse map. We consider the idea of the modification of this encryption algorithm after sending each message without using key exchange protocols. So the new algorithm is resistant to plain linearization attacks.uk
dc.format.pagerangePp. 15-26uk
dc.identifier.citationUstimenko, V. Statistical stegdetectors performance by message re-embedding / Vasyl Ustimenko, Michal Klisowski // Theoretical and Applied Cybersecurity : scientific journal. – 2021. – Vol. 3, Iss. 1. – Pp. 15–26. – Bibliogr.: 15 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132021.1.251293
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/55578
dc.language.isoenuk
dc.publisherIgor Sikorsky Kyiv Polytechnic Instituteuk
dc.publisher.placeKyivuk
dc.relation.ispartofTheoretical and Applied Cybersecurity: scientific journal, Vol. 3, No. 1uk
dc.subjectstream ciphersuk
dc.subjectkey exchange protocolsuk
dc.subjectaudenticationuk
dc.subjectgraph baseduk
dc.subjectencryptionuk
dc.subjectmultivariate mapsuk
dc.titleOn the Generator of Stable Cubical Multivariate Encryption Maps Over Boolean Rings for Protection of Large Information Systemuk
dc.typeArticleuk

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 3, No. 1