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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) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
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DOI: https://doi.org/10.33048/daio.2024.31.772
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
    • This publication is cited in the following 2 articles:
    1. A. O. Bakharev, “A new quantum oracle model for a hybrid quantum-classical attack on post-quantum lattice-based cryptosystems”, J. Appl. Industr. Math., 18:3 (2024), 395–411  mathnet  crossref  crossref
    2. Lili Zhang, Fei Xue, Ke Zhao, 2024 IEEE 6th Eurasia Conference on Biomedical Engineering, Healthcare and Sustainability (ECBIOS), 2024, 221  crossref
    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:168
    Full-text PDF :3
    References:36
    First page:21
     
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