Pseudorandomness Analysis of Ciphertexts in the AJPS-2 Cryptosystem
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Дата
2025
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Науковий керівник
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Видавець
Igor Sikorsky Kyiv Polytechnic Institute
Анотація
This paper investigates the post-quantum cryptographic primitive AJPS-2 based on arithmetic moduloMersenne numbers. We describe modified versions of this cryptosystem that utilize generalizedMersenne numbers and Crandall numbers as moduli. We conduct a comparative analysis of ciphertextpseudorandomness for the original cryptosystem and its modifications using the NIST SP 800-22pseudorandomness test suite. The results show that the use of alternative moduli increases the overallstability and parameters variability of the AJPS-2 cryptosystem.
Опис
Ключові слова
AJPS cryptosystem, post-quantum cryptography, Mersenne numbers, generalized Mersennenumbers, Crandall numbers
Бібліографічний опис
Doroshenko, Y. Pseudorandomness Analysis of Ciphertexts in the AJPS-2 Cryptosystem / Yurii Doroshenko, Dariya Yadukha // Theoretical and Applied Cybersecurity: scientific journal. – 2025. – Vol. 7, No. 3. – P. 31-37. – Bibliogr.: 7 ref.