论文标题

在第六届国际奥林匹克运动会上

On the Sixth International Olympiad in Cryptography NSUCRYPTO

论文作者

Gorodilova, Anastasiya, Tokareva, Natalia, Agievich, Sergey, Carlet, Claude, Gorkunov, Evgeny, Idrisova, Valeria, Kolomeec, Nikolay, Kutsenko, Alexander, Lebedev, Roman, Nikova, Svetla, Oblaukhov, Alexey, Pankratova, Irina, Pudovkina, Marina, Rijmen, Vincent, Udovenko, Aleksei

论文摘要

Nsucrypto是独特的加密奥林匹克运动会,其中包含来自任何国家的专业人士,学校和大学生的科学数学问题。其目的是让年轻的研究人员参与解决现代密码学的好奇而棘手的科学问题。从一开始,奥林匹克运动会的概念不是要专注于解决奥林匹克任务,而是在数学和密码学的交集中包括未解决的研究问题。奥林匹克运动历史始于2014年。2019年,它是第六次举行的。在本文中,提出了第六届国际奥林匹克运动会的问题及其解决方案Nsucrypto'2019。我们考虑与对密码和哈希功能的攻击有关的问题,协议,布尔功能,迪克森多项式,质数,转子机等。我们讨论了几个关于数学上的公开问题的开放性问题,以对侧通道攻击,APN的参与,S-boxes等。在发现碰撞的问题上,请在hash function curl27中找到碰撞的问题。

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.

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