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Every year the International Olympiad in Cryptography Non-Stop UniversityCRYPTO (NSUCRYPTO) offers mathematical problems for university and schoolstudents and, moreover, for professionals in the area of cryptography andcomputer science. The mail goal of NSUCRYPTO is to draw attention of studentsand young researchers to modern cryptography and raise awareness about openproblems in the field. We present problems of NSUCRYPTO'22 and their solutions.There are 16 problems on the following topics: ciphers, cryptosystems,protocols, e-money and cryptocurrencies, hash functions, matrices, quantumcomputing, S-boxes, etc. They vary from easy mathematical tasks that could besolved by school students to open problems that deserve separate discussion andstudy. So, in this paper, we consider several open problems on three-passprotocols, public and private keys pairs, modifications of discrete logarithmproblem, cryptographic permutations and quantum circuits.

Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO