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Computer Science > Cryptography and Security

arXiv:2310.05641 (cs)
[Submitted on 9 Oct 2023]

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

Authors:V.A. Idrisova, N.N. Tokareva, A.A. Gorodilova, I.I. Beterov, T.A. Bonich, E.A. Ishchukova, N.A. Kolomeec, A.V. Kutsenko, E.S. Malygina, I.A. Pankratova, M.A. Pudovkina, A.N. Udovenko
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Abstract:Every year the International Olympiad in Cryptography Non-Stop University CRYPTO (NSUCRYPTO) offers mathematical problems for university and school students and, moreover, for professionals in the area of cryptography and computer science. The mail goal of NSUCRYPTO is to draw attention of students and young researchers to modern cryptography and raise awareness about open problems 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, quantum computing, S-boxes, etc. They vary from easy mathematical tasks that could be solved by school students to open problems that deserve separate discussion and study. So, in this paper, we consider several open problems on three-pass protocols, public and private keys pairs, modifications of discrete logarithm problem, cryptographic permutations and quantum circuits.
Subjects: Cryptography and Security (cs.CR)
MSC classes: 11T71, 94A60
ACM classes: E.3; G.2.3
Cite as: arXiv:2310.05641 [cs.CR]
  (or arXiv:2310.05641v1 [cs.CR] for this version)
  https://doi.org/10.48550/arXiv.2310.05641

Submission history

From: Nikolay Kolomeec [view email]
[v1] Mon, 9 Oct 2023 11:52:00 UTC (1,412 KB)
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