Abstract
NSUCRYPTO is the unique cryptographic Olympiad containing scientific mathematical problems for professionals, school and university students from any country. Its aim is to involve young researchers in solving curious and tough scientific problems of modern cryptography. From the very beginning, the concept of the Olympiad was not to focus on solving olympic tasks but on including unsolved research problems at the intersection of mathematics and cryptography. The Olympiad history starts in 2014. In 2019, it was held for the sixth time. In this paper, problems and their solutions of the Sixth International Olympiad in cryptography NSUCRYPTO'2019 are presented. We consider problems related to attacks on ciphers and hash functions, protocols, Boolean functions, Dickson polynomials, prime numbers, rotor machines, etc. We discuss several open problems on mathematical countermeasures to side-channel attacks, APN involutions, S-boxes, etc. The problem of finding a collision for the hash function Curl27 was partially solved during the Olympiad.
Highlights
We present problems of the Sixth International Olympiad in cryptography NSUCRYPTO’2019 along with their solutions
The problems are related to attacks on ciphers and hash functions, protocols, Boolean functions, Dickson polynomials, prime numbers, rotor machines, etc
The problem of finding a collision for the hash function Curl27 was partially solved during the Olympiad
Summary
В общей сложности на олимпиаде было предложено 16 задач, некоторые из которых вошли в оба раунда (табл. 1, 2). В общей сложности на олимпиаде было предложено 16 задач, некоторые из которых вошли в оба раунда Секция A первого раунда состояла из 6 задач, секция B включала 7 задач. Три задачи были общими для обеих секций. Второй раунд содержал 11 задач, 5 из которых включали нерешённые вопросы (решения таких задач награждаются специальными призами от программного комитета)
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