Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Diskretnyi Analiz i Issledovanie Operatsii, 2023, Volume 30, Issue 4, Pages 46–90
DOI: https://doi.org/10.33048/daio.2023.30.771 (Mi da1334) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Post-quantum cryptosystems: open problems and solutions. Lattice-based cryptosystems

E. S. Malyginaab, A. V. Kutsenkob, S. A. Novoselova, N. S. Kolesnikova, A. O. Bakharevb, I. S. Khilchukb, A. S. Shaporenkob, N. N. Tokarevaba

a Immanuel Kant Baltic Federal University, 14 Aleksandr Nevskii Street, 236041 Kaliningrad, Russia
b Novosibirsk State University, 2 Pirogov Street, 630090 Novosibirsk, Russia
Full-text PDF (557 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.33048/daio.2023.30.771
Abstract: The paper provides an overview of the main approaches to the construction of post-quantum cryptographic systems that are currently used. The area of lattice-based cryptography is analyzed in detail. We give the description and characteristics of some known lattice-based cryptosystems whose security is based on the complexity of the shortest vector problem, learning with errors problem, and their variations. The main approaches to solving the problems from lattice theory, on which attacks on the corresponding cryptosystems are based, are analyzed. In particular, some known theoretical estimates of time and memory complexity of lattice basis reduction and lattice sieving algorithms are presented. Tab. 6, illustr. 1, biblogr. 93.
Keywords: post-quantum cryptography, quantum computer, integer lattice.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-934
075-15-2022-282
The work of the first, third, and fourth authors is supported by the Kovalevskaya North-Western Mathematical Center of Immanuel Kant Baltic Federal University under the agreement with the Ministry of Science and Higher Education of Russia (Agreement 075–02–2023–934). The work of the second, fifth, sixth, seventh, and eighth authors is supported by the Mathematical Center in Akademgorodok under agreement with the Ministry of Science and Higher Education of Russia (Agreement 075–15–2022–282).
Received: 04.05.2023
Revised: 28.07.2023
Accepted: 20.08.2023
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 4, Pages 767–790
DOI: https://doi.org/10.1134/S1990478923040087
Document Type: Article
UDC: 519.7
Language: Russian
Citation: E. S. Malygina, A. V. Kutsenko, S. A. Novoselov, N. S. Kolesnikov, A. O. Bakharev, I. S. Khilchuk, A. S. Shaporenko, N. N. Tokareva, “Post-quantum cryptosystems: open problems and solutions. Lattice-based cryptosystems”, Diskretn. Anal. Issled. Oper., 30:4 (2023), 46–90; J. Appl. Industr. Math., 17:4 (2023), 767–790
Citation in format AMSBIB
\Bibitem{MalKutNov23}
\by E.~S.~Malygina, A.~V.~Kutsenko, S.~A.~Novoselov, N.~S.~Kolesnikov, A.~O.~Bakharev, I.~S.~Khilchuk, A.~S.~Shaporenko, N.~N.~Tokareva
\paper Post-quantum cryptosystems: open problems and solutions. Lattice-based cryptosystems
\jour Diskretn. Anal. Issled. Oper.
\yr 2023
\vol 30
\issue 4
\pages 46--90
\mathnet{http://mi.mathnet.ru/da1334}
\crossref{https://doi.org/10.33048/daio.2023.30.771}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 4
\pages 767--790
\crossref{https://doi.org/10.1134/S1990478923040087}
Linking options:
  • https://www.mathnet.ru/eng/da1334
  • https://www.mathnet.ru/eng/da/v30/i4/p46
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
    Statistics & downloads:
    Abstract page:142
    Full-text PDF :38
    References:30
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024