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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 138, Pages 11–18 (Mi into211)

Analysis of properties of quantum hashing

A. V. Vasiliev, A. R. Vasilov, M. A. Latypov

Kazan (Volga Region) Federal University

Abstract: We analyze a method of binary quantum hashing that allows one to represent binary sets as quantum states. We show that this method is very stable with respect to the recovery of preimages. Moreover, we propose heuristic approaches to small-bias sets on which the construction of quantum hash-functions is based and show that they are stable with respect to collisions.

Keywords: quantum computing, quantum cryptography, quantum hashing, linear binary code, random search, particle swarm algorithm.

UDC: 519.7

MSC: 81P94


 English version:
Journal of Mathematical Sciences (New York), 2019, 241:2, 117–124

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