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NSUCRYPTO is the unique cryptographic Olympiad containing scientificmathematical problems for professionals, school and university students fromany country. Its aim is to involve young researchers in solving curious andtough scientific problems of modern cryptography. From the very beginning, theconcept of the Olympiad was not to focus on solving olympic tasks but onincluding unsolved research problems at the intersection of mathematics andcryptography. The Olympiad history starts in 2014. In 2019, it was held for thesixth time. In this paper, problems and their solutions of the SixthInternational Olympiad in cryptography NSUCRYPTO'2019 are presented. Weconsider problems related to attacks on ciphers and hash functions, protocols,Boolean functions, Dickson polynomials, prime numbers, rotor machines, etc. Wediscuss several open problems on mathematical countermeasures to side-channelattacks, APN involutions, S-boxes, etc. The problem of finding a collision forthe hash function Curl27 was partially solved during the Olympiad.

On the Sixth International Olympiad in Cryptography NSUCRYPTO