Studies on the Quality Assessment of PRNG for Q-Trits Quantum Cryptography Protocols

Abstract

Cybersecurity contains three basic features such as confidentiality, integrity and availability. Data confidentiality ensuring by encryption has faced quantum computing threat, but this problem can be solved by using post-quantum cryptography and / or quantum cryptography (quantum key distribution). For cryptographic applications statistical properties of the generated pseudorandom sequences should not be differ from random sequences. To determine such properties a number of statistical testing methods are used, but they all are focused on the evaluation of binary sequences. In quantum cryptography there are some protocols with Q-trits (qutrits), but these sequences cannot be assessed effectively by binary statistic methods. From this position in the paper quality assessment approach for Q-trits pseudo random number generators and formed sequences was proposed. Also the experimental study of proposed approach (in comparison with NIST STS) was carried out. Given results show that NIST STS technique cannot be used to evaluate the quality of the Q-trit sequences and generators, but developed method is suitable to use in practice for evaluating Q-trit sequences (generators) quality.