On graph based multivariate maps of prescribed degree and density as instruments of key establishment and access control
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Дата
2025
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Науковий керівник
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НН ФТІ, КПІ ім. Ігоря Сікорського
Анотація
Let us assume that one of two trusted parties (administrator) manages the information system (IS) and another one (user) is going to use the resources of this IS during the certain time interval. So they need establish secure user’s access password to the IS resources of this system via selected authenticated key exchange protocol. So they need to communicate via insecure communication channel and secretly construct a cryptographically strong session key that can serve for the establishment of secure passwords in the form of tuples in certain alphabet during the certain time interval. Nowadays selected protocol has to be postquantum secure. We propose the implementation of this scheme in terms of Symbolic Computations. The key exchange protocol is one of the key exchange algorithms of Noncommutative Cryptography with the platform of multivariate transformation of the affine space over selected finite commutative ring. The session key is a multivariate map on the affine space. Platforms and multivariate maps are constructed in terms of Algebraic Graph Theory.
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Ustimenko, V. On graph based multivariate maps of prescribed degree and density as instruments of key establishment and access control / Vasyl Ustimenko // Theoretical and Applied Cybersecurity : Матеріали ІІІ Всеукраїнської науково-практичної конференції (TACS-2025), [Київ], 29 травня 2025 р. / НН ФТІ, КПІ ім. Ігоря Сікорського. - Київ, 2025. - С. 8-13.