Abstract:
The International Olympiad in Cryptography NSUCRYPTO is the unique 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. In 2020, it was held for the seventh time. Prizes and diplomas were awarded to 84 participants in the first round and 49 teams in the second round from 32 countries. In this paper, problems and their solutions of NSUCRYPTO'2020 are presented. We consider problems related to attacks on ciphers and hash functions, protocols, permutations, primality tests, etc. We discuss several open problems on JPEG encoding, Miller — Rabin primality test, special bases in the vector space, AES-GCM. The problem of a modified Miller — Rabin primality test was solved during the Olympiad. The problem for finding special bases was partially solved.
The work of the second and sixth authors was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation and Laboratory of Cryptography JetBrains Research. The work of the first, fifth and eighth authors was supported by Russian Foundation for Basic Research (project no. 20-31-70043).
Citation:
A. A. Gorodilova, N. N. Tokareva, S. V. Agievich, C. Carlet, V. A. Idrisova, K. V. Kalgin, D. N. Kolegov, A. V. Kutsenko, N. Mouha, M. A. Pudovkina, A. N. Udovenko, “The Seventh International Olympiad in Cryptography: problems and solutions”, Sib. Èlektron. Mat. Izv., 18:2 (2021), А.4–А.29
\Bibitem{GorTokAgi21}
\by A.~A.~Gorodilova, N.~N.~Tokareva, S.~V.~Agievich, C.~Carlet, V.~A.~Idrisova, K.~V.~Kalgin, D.~N.~Kolegov, A.~V.~Kutsenko, N.~Mouha, M.~A.~Pudovkina, A.~N.~Udovenko
\paper The Seventh International Olympiad in Cryptography: problems and solutions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages А.4--А.29
\mathnet{http://mi.mathnet.ru/semr1396}
\crossref{https://doi.org/10.33048/semi.2021.18.063}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734397200001}
Linking options:
https://www.mathnet.ru/eng/semr1396
https://www.mathnet.ru/eng/semr/v18/i2/p4
This publication is cited in the following 3 articles:
Boris S. Goryachkin, Ekaterina D. Vdovkina, 2024 6th International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE), 2024, 1
V. A. Idrisova, N. N. Tokareva, A. A. Gorodilova, I. I. Beterov, T. A. Bonich, E. A. Ishchukova, N. A. Kolomeets, A. V. Kutsenko, E. S. Malygina, I. A. Pankratova, M. A. Pudovkina, A. N. Udovenko, “Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO”, PDM, 2023, no. 62, 29–54
A. A. Gorodilova, N. N. Tokareva, S. V. Agievich, I. I. Beterov, T. Beyne, L. Budaghyan, C. Carlet, S. Dhooghe, V. A. Idrisova, N. A. Kolomeec, A. V. Kutsenko, E. S. Malygina, N. Mouha, M. A. Pudovkina, F. Sica, A. N. Udovenko, “An overview of the Eight International Olympiad in Cryptography “Non-Stop University CRYPTO””, Sib. elektron. matem. izv., 19:1 (2022), 9–37