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The Seventh International Olympiad in Cryptography: Problems and solutions 第七届国际密码学奥林匹克竞赛:问题与对策
IF 0.4 Q3 Mathematics Pub Date : 2021-06-02 DOI: 10.33048/semi.2021.18.063
A. Gorodilova, N. Tokareva, S. Agievich, C. Carlet, V. Idrisova, K. Kalgin, D. Kolegov, A. Kutsenko, N. Mouha, M. Pudovkina, A. Udovenko
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.
国际密码学奥林匹克运动会NSUCRYPTO是一个独特的奥林匹克运动会,为来自任何国家的专业人士、中小学生和大学生提供科学数学问题。其目的是让年轻的研究人员参与解决现代密码学中好奇而棘手的科学问题。2020年,它举行了第七次。来自32个国家的84名第一轮参赛者和49支第二轮参赛队伍获得了奖品和文凭。本文介绍了NSUCRYPTO’2020存在的问题及其解决方案。我们考虑了与攻击密码和散列函数、协议、排列、素性测试等有关的问题。我们讨论了JPEG编码、Miller-Rabin素性测试、向量空间中的特殊基、AES-GCM等方面的几个开放问题。在奥林匹克运动会期间,一个改良的米勒-拉宾素性测试的问题得到了解决。找到特殊基地的问题得到了部分解决。
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引用次数: 2
Boundary value problems with conjugation conditions for quasi-parabolic equations of the third order with a discontinuous sign-variable coefficient 符号变系数不连续的三阶拟抛物型方程的共轭边值问题
IF 0.4 Q3 Mathematics Pub Date : 2021-06-02 DOI: 10.33048/semi.2021.18.043
A. Kozhanov, N. Shadrina
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引用次数: 0
Fixed points of cyclic groups acting purely harmonically on a graph 图上纯调和作用的循环群的不动点
IF 0.4 Q3 Mathematics Pub Date : 2021-06-02 DOI: 10.33048/semi.2021.18.044
A. Mednykh
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引用次数: 0
Construction of exponentially decreasing estimates of solutions to a Cauchy problem for some nonlinear systems of delay differential equations 一类非线性时滞微分方程组Cauchy问题解的指数递减估计的构造
IF 0.4 Q3 Mathematics Pub Date : 2021-05-26 DOI: 10.33048/semi.2021.18.042
N. Pertsev
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引用次数: 0
About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition 具有非局部边值条件的三阶伪抛物型方程差分格式的收敛性
IF 0.4 Q3 Mathematics Pub Date : 2021-05-25 DOI: 10.33048/semi.2021.18.040
A. K. Bazzaev, D. K. Gutnova
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引用次数: 0
New perfect colorings of infinite circulant graphs with continuous sets of distances 具有连续距离集的无限循环图的新完美着色
IF 0.4 Q3 Mathematics Pub Date : 2021-05-19 DOI: 10.33048/semi.2021.18.038
V. D. Plaksina, P. Shcherbina
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引用次数: 0
Center and its spectrum of almost all $n$-vertex graphs of given diameter 几乎所有给定直径的$n$-顶点图的中心及其谱
IF 0.4 Q3 Mathematics Pub Date : 2021-05-18 DOI: 10.33048/semi.2021.18.037
T. I. Fedoryaeva
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引用次数: 1
On band preserving orthogonally additive operators 关于保带正交加法算子
IF 0.4 Q3 Mathematics Pub Date : 2021-05-14 DOI: 10.33048/semi.2021.18.036
N. Abasov
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引用次数: 9
Weak reducibility of computable and generalized computable numberings 可计算数和广义可计算数的弱可约性
IF 0.4 Q3 Mathematics Pub Date : 2021-05-12 DOI: 10.33048/semi.2021.18.035
Z. K. Ivanova, M. Faizrahmanov
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引用次数: 0
Local $tau$-density and local weak $tau$-density in topological spaces 拓扑空间中的局部τ $-密度和局部弱τ $-密度
IF 0.4 Q3 Mathematics Pub Date : 2021-04-28 DOI: 10.33048/semi.2021.18.033
T. Yuldashev, F. Mukhamadiev
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引用次数: 2
期刊
Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya
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