Mathematical methods in solutions of the problems presented at the third international students' olympiad in cryptography

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Mathematical methods in solutions of the problems presented at the third international students' olympiad in cryptography. / Tokareva, N.; Gorodilova, A.; Agievich, S. и др.

в: Прикладная дискретная математика, № 40, 06.2018, стр. 34-58.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{2b053a434f0c4a7fb6bcdbab101e565a,

title = "Mathematical methods in solutions of the problems presented at the third international students' olympiad in cryptography",

abstract = "The mathematical problems, presented at the Third International Students' Olympiad in Cryptography NSUCRYPTO'2016, and their solutions are considered. They are related to the construction of algebraic immune vectorial Boolean functions and big Fermat numbers, the secrete sharing schemes and pseudorandom binary sequences, biometric cryptosystems and the blockchain technology, etc. Two open problems in mathematical cryptography are also discussed and a solution for one of them pro- posed by a participant during the Olympiad is described. It was the first time in the Olympiad history. The problem is the following.construct F .F5 2 →F5 2with maximum possible component algebraic immunity 3 or prove that it does not exist. Alexey Udovenko from University of Luxembourg has found such a function.",

keywords = "Biometry, Blockchain, Boolean functions, Ciphers, Cryptography, NSUCRYPTO, Olympiad, biometry, blockchain, ciphers, cryptography",

author = "N. Tokareva and A. Gorodilova and S. Agievich and V. Idrisova and N. Kolomeec and A. Kutsenko and A. Oblaukhov and G. Shushuev",

year = "2018",

month = jun,

doi = "10.17223/20710410/40/4",

language = "English",

pages = "34--58",

journal = "Прикладная дискретная математика",

issn = "2071-0410",

publisher = "Tomsk State University",

number = "40",

}

RIS

TY - JOUR

T1 - Mathematical methods in solutions of the problems presented at the third international students' olympiad in cryptography

AU - Tokareva, N.

AU - Gorodilova, A.

AU - Agievich, S.

AU - Idrisova, V.

AU - Kolomeec, N.

AU - Kutsenko, A.

AU - Oblaukhov, A.

AU - Shushuev, G.

PY - 2018/6

Y1 - 2018/6

N2 - The mathematical problems, presented at the Third International Students' Olympiad in Cryptography NSUCRYPTO'2016, and their solutions are considered. They are related to the construction of algebraic immune vectorial Boolean functions and big Fermat numbers, the secrete sharing schemes and pseudorandom binary sequences, biometric cryptosystems and the blockchain technology, etc. Two open problems in mathematical cryptography are also discussed and a solution for one of them pro- posed by a participant during the Olympiad is described. It was the first time in the Olympiad history. The problem is the following.construct F .F5 2 →F5 2with maximum possible component algebraic immunity 3 or prove that it does not exist. Alexey Udovenko from University of Luxembourg has found such a function.

AB - The mathematical problems, presented at the Third International Students' Olympiad in Cryptography NSUCRYPTO'2016, and their solutions are considered. They are related to the construction of algebraic immune vectorial Boolean functions and big Fermat numbers, the secrete sharing schemes and pseudorandom binary sequences, biometric cryptosystems and the blockchain technology, etc. Two open problems in mathematical cryptography are also discussed and a solution for one of them pro- posed by a participant during the Olympiad is described. It was the first time in the Olympiad history. The problem is the following.construct F .F5 2 →F5 2with maximum possible component algebraic immunity 3 or prove that it does not exist. Alexey Udovenko from University of Luxembourg has found such a function.

KW - Biometry

KW - Blockchain

KW - Boolean functions

KW - Ciphers

KW - Cryptography

KW - NSUCRYPTO

KW - Olympiad

KW - biometry

KW - blockchain

KW - ciphers

KW - cryptography

UR - http://www.scopus.com/inward/record.url?scp=85051409303&partnerID=8YFLogxK

U2 - 10.17223/20710410/40/4

DO - 10.17223/20710410/40/4

M3 - Article

AN - SCOPUS:85051409303

SP - 34

EP - 58

JO - Прикладная дискретная математика

JF - Прикладная дискретная математика

SN - 2071-0410

IS - 40

ER -

ID: 16074844