Pseudorandomness Analysis of Ciphertexts in the AJPS-2 Cryptosystem

Authors

  • Yurii Doroshenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Institute of Physics and Technology, Ukraine
  • Dariya Yadukha National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”б Institute of Physics and Technology, Ukraine

DOI:

https://doi.org/10.20535/tacs.2664-29132025.3.345270

Abstract

This paper investigates the post-quantum cryptographic primitive AJPS-2 based on arithmetic modulo Mersenne numbers. We describe modified versions of this cryptosystem that utilize generalized Mersenne numbers and Crandall numbers as moduli. We conduct a comparative analysis of ciphertext pseudorandomness for the original cryptosystem and its modifications using the NIST SP 800-22 pseudorandomness test suite. The results show that the use of alternative moduli increases the overall stability and parameters variability of the AJPS-2 cryptosystem.

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Published

2025-12-28

Issue

Vol. 7 No. 3 (2025): Theoretical and Applied Cybersecurity

Section

Theoretical and cryptographic problems of cybersecurity

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