Geodesic
Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO
Prikladnaâ diskretnaâ matematika, no. 4 (2023), pp. 29-54

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: cryptography, ciphers, number theory, S-boxes, quantum circuits, hash functions, cryptocurrencies, postquantum cryptosystems
Mots-clés : protocols, matrices, interpolation, Olympiad, NSUCRYPTO. 
@article{PDM_2023_4_a3,
     author = {V. A. Idrisova and N. N. Tokareva and A. A. Gorodilova and I. I. Beterov and T. A. Bonich and E. A. Ishchukova and N. A. Kolomeets and A. V. Kutsenko and E. S. Malygina and I. A. Pankratova and M. A. Pudovkina and A. N. Udovenko},
     title = {Mathematical problems and solutions of the {Ninth} {International} {Olympiad} in {Cryptography} {NSUCRYPTO}},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {29--54},
     publisher = {mathdoc},
     number = {4},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PDM_2023_4_a3/}
}
TY  - JOUR
AU  - V. A. Idrisova
AU  - N. N. Tokareva
AU  - A. A. Gorodilova
AU  - I. I. Beterov
AU  - T. A. Bonich
AU  - E. A. Ishchukova
AU  - N. A. Kolomeets
AU  - A. V. Kutsenko
AU  - E. S. Malygina
AU  - I. A. Pankratova
AU  - M. A. Pudovkina
AU  - A. N. Udovenko
TI  - Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2023
SP  - 29
EP  - 54
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDM_2023_4_a3/
LA  - en
ID  - PDM_2023_4_a3
ER  - 
%0 Journal Article
%A V. A. Idrisova
%A N. N. Tokareva
%A A. A. Gorodilova
%A I. I. Beterov
%A T. A. Bonich
%A E. A. Ishchukova
%A N. A. Kolomeets
%A A. V. Kutsenko
%A E. S. Malygina
%A I. A. Pankratova
%A M. A. Pudovkina
%A A. N. Udovenko
%T Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO
%J Prikladnaâ diskretnaâ matematika
%D 2023
%P 29-54
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDM_2023_4_a3/
%G en
%F PDM_2023_4_a3
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. Prikladnaâ diskretnaâ matematika, no. 4 (2023), pp. 29-54. http://geodesic.mathdoc.fr/item/PDM_2023_4_a3/