The necessary conditions for the key generation of the quantum-resistant AJPS-1 cryptosystem

Author:

Yadukha Dariya

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)

Reference5 articles.

1. 1) Post-Quantum Cryptography Standardization. National Institute of Standards and Technology, Available: https://csrc.nist.gov/Projects/post-quantum-cryptography/Post-Quantum-Cryptography-Standardization.

2. 2) D. Aggarwal, A. Joux, A. Prakash, M. Santha. A New Public-Key Cryptosystem via Mersenne Numbers. IACR Cryptology ePrint Archive. - Available: https://eprint.iacr.org/2017/481.

3. 3) S. Baktir, B. Sunar. Optimal Extension Field Inversion in the Frequency Domain. Arithmetic of Finite Fields. Siena: Springer, 2008.

4. 4) M. Beunardeau, A. Connolly, R. Geraud, D. Naccache. On the Hardness of the Mersenne Low Hamming Ratio Assumption. https://eprint.iacr.org/2017/522.

5. 5) M. Tiepelt, A. Szepieniec. Quantum LLL with an Application to Mersenne Number Cryptosystems. Progress in Cryptology - LATINCRYPT 2019.

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