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

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Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO. / Idrisova, V. A.; Tokareva, N. N.; Gorodilova, A. A. et al.

In: Прикладная дискретная математика, Vol. 62, 4, 2023, p. 29-54.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{1dcf5612e9ad4819a06b100b5aa1ef2a,

title = "Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO",

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 main 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{\textquoteright}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.",

author = "Idrisova, {V. A.} and Tokareva, {N. N.} and Gorodilova, {A. A.} and Beterov, {I. I.} and Bonich, {T. A.} and Ishchukova, {E. A.} and Kolomeec, {N. A.} and Kutsenko, {A. V.} and Malygina, {E. S.} and Pankratova, {I. A.} and Pudovkina, {M. A.} and Udovenko, {A. N.}",

note = "The work of the first, second, third, fifth, seventh and eighth authors was supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation. The work of the ninth author was supported by the Kovalevskaya North-West Centre of Mathematical Research under the agreement No. 075-02-2023-934 with the Ministry of Science and Higher Education of the Russian Federation. The work is also supported by Novosibirsk State University and Kryptonite.",

year = "2023",

doi = "10.17223/20710410/62/4",

language = "English",

volume = "62",

pages = "29--54",

journal = "Прикладная дискретная математика",

issn = "2071-0410",

publisher = "Tomsk State University",

}

RIS

TY - JOUR

T1 - Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO

AU - Idrisova, V. A.

AU - Tokareva, N. N.

AU - Gorodilova, A. A.

AU - Beterov, I. I.

AU - Bonich, T. A.

AU - Ishchukova, E. A.

AU - Kolomeec, N. A.

AU - Kutsenko, A. V.

AU - Malygina, E. S.

AU - Pankratova, I. A.

AU - Pudovkina, M. A.

AU - Udovenko, A. N.

N1 - The work of the first, second, third, fifth, seventh and eighth authors was supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation. The work of the ninth author was supported by the Kovalevskaya North-West Centre of Mathematical Research under the agreement No. 075-02-2023-934 with the Ministry of Science and Higher Education of the Russian Federation. The work is also supported by Novosibirsk State University and Kryptonite.

PY - 2023

Y1 - 2023

N2 - 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 main 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.

AB - 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 main 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.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85176758642&origin=inward&txGid=df5415bd13f45f8ed1a92f34cb121195

UR - https://www.elibrary.ru/item.asp?id=55082637

UR - https://www.mendeley.com/catalogue/d2ba66bc-52aa-35a9-aa7f-bd5c7f71c287/

U2 - 10.17223/20710410/62/4

DO - 10.17223/20710410/62/4

M3 - Article

VL - 62

SP - 29

EP - 54

JO - Прикладная дискретная математика

JF - Прикладная дискретная математика

SN - 2071-0410

M1 - 4

ER -

ID: 59754570