2024

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The Modification of Post-Quantum AJPS-1 Cryptosystem by Changing the Metric
(Igor Sikorsky Kyiv Polytechnic Institute, 2024) Yadukha, Dariya
This paper considers the AJPS-1 post-quantum cryptosystem. A feature of this cryptosystem is the useof arithmetic modulo Mersenne number, in particular, the AJPS cryptosystem uses relations for theHamming weight of integers modulo Mersenne number. To create a modification of this cryptosystemby changing the metric, relations of the𝑂𝑆𝐷metric for integers modulo Mersenne number wereobtained. The paper describes the constructed modification of the AJPS-1 cryptosystem with a changedmetric and analyses its advantages compared to the AJPS-1 cryptosystem. This modification allows toincrease the variance of the decryption parameter, which improves the resistance of the cryptosystem tociphertext-only (known ciphertext) attacks aimed at determining the private key.