Method of Security Improvement for MST3 Cryptosystem Based on Automorphism Group of Ree Function Field
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Дата
2023
Автори
Kotukh, Yevgen
Khalimov, Gennady
Korobchinskiy, Maxim
Науковий керівник
Назва журналу
Номер ISSN
Назва тому
Видавець
Igor Sikorsky Kyiv Polytechnic Institute
Анотація
This article is a part of a research endeavor focused on creating a quantum-resistant cryptosystem for secure encryption and decryption. Our approach employs a challenging word problem while emphasizing cost-effective implementation. Previous research has involved the development of encryption schemes based on high-order groups, offering potential security enhancements. The choice of the non-abelian group is a critical factor in shaping the encryption algorithms, feasibility of implementation, and system parameters. Our central objective is to design a cryptosystem that effectively thwarts quantum cryptanalysis. To achieve this, we employ a logarithmic signature along with a random cover across an entire finite non-abelian group. Our unique contribution lies in optimizing finite group selection, parameters, and circuit solutions for the logarithmic signature to meet specific security and implementation criteria. Within this paper, we introduce an encryption scheme utilizing automorphisms of the Ree functional field and propose a method for enhancing resistance to cryptanalysis through the binding of session keys.
Опис
Ключові слова
MST3 cryptosystem, logarithmic signature, random cover, Ree function field, word problem
Бібліографічний опис
Kotukh, Ye. Method of Security Improvement for MST3 Cryptosystem Based on Automorphism Group of Ree Function Field / Yevgen Kotukh, Gennady Khalimov, Maxim Korobchinskiy // Theoretical and Applied Cybersecurity : scientific journal. – 2023. – Vol. 5, Iss. 2. – Pp. 31–39. – Bibliogr. 25 ref.