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, 2024, Volume 31, Issue 1, Pages 52–84
DOI: https://doi.org/10.33048/daio.2024.31.772
(Mi da1339)
 

Post-quantum cryptosystems: open problems and current solutions. Isogeny-based and code-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
References:
Abstract: This paper is a survey of modern post-quantum cryptographic schemes based on codes and isogenies. Special attention is paid to cryptanalysis of these schemes. In particular, for code-based cryptosystems we describe the information set decoding and the support splitting algorithm as main attacks, and for cryptosystems based on isogenies we describe in detail the Castryck — Decru attack on SIDH/SIKE. Tab. 2, bibliogr. 43.
Keywords: post-quantum cryptography, error-correcting code, elliptic curve, isogeny.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075–02–2023–934
075–15–2022–282
Received: 11.05.2023
Revised: 07.08.2023
Accepted: 22.09.2023
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 1, Pages 103–121
DOI: https://doi.org/10.1134/S1990478924010101
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 current solutions. Isogeny-based and code-based cryptosystems”, Diskretn. Anal. Issled. Oper., 31:1 (2024), 52–84; J. Appl. Industr. Math., 18:1 (2024), 103–121
Citation in format AMSBIB
\Bibitem{MalKutNov24}
\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~current solutions. Isogeny-based~and~code-based~cryptosystems
\jour Diskretn. Anal. Issled. Oper.
\yr 2024
\vol 31
\issue 1
\pages 52--84
\mathnet{http://mi.mathnet.ru/da1339}
\crossref{https://doi.org/10.33048/daio.2024.31.772}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 1
\pages 103--121
\crossref{https://doi.org/10.1134/S1990478924010101}
Linking options:
  • https://www.mathnet.ru/eng/da1339
  • https://www.mathnet.ru/eng/da/v31/i1/p52
  • 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:97
    Full-text PDF :3
    References:24
    First page:11
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024