Post-Quantum Cryptosystems: Open Problems and Current Solutions. Isogeny-Based and Code-Based Cryptosystems

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Post-Quantum Cryptosystems: Open Problems and Current Solutions. Isogeny-Based and Code-Based Cryptosystems. / Малыгина, Екатерина Сергеевна ; Куценко, Александр Владимирович; Novoselov, S. A. и др.

в: Journal of Applied and Industrial Mathematics, Том 18, № 1, 10, 03.2024, стр. 103-121.

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

BibTeX

@article{31da8b67877b42f38145ef3f0282107f,

title = "Post-Quantum Cryptosystems: Open Problems and Current Solutions. Isogeny-Based and Code-Based Cryptosystems",

abstract = "This paper is a survey of modern post-quantum cryptographic schemes based on codesand isogenies. Special attention is paid to cryptanalysis of these schemes. In particular, forcode-based cryptosystems we describe the information set decoding and the support splittingalgorithm as main attacks, and for cryptosystems based on isogenies we describe in detail theCastryck–Decru attack on SIDH/SIKE.",

author = "Малыгина, {Екатерина Сергеевна} and Куценко, {Александр Владимирович} and Novoselov, {S. A.} and Kolesnikov, {N. S.} and Бахарев, {Александр Олегович} and Хильчук, {Ирина Сергеевна} and Шапоренко, {Александр Сергеевич} and Токарева, {Наталья Николаевна}",

note = "The work of the first, third, and fourth authors was financially supported by the Kovalevskaya North-Western Mathematical Center of Immanuel Kant Baltic Federal University under agreement no. 075–02–2023–934 with the Ministry of Science and Higher Education of the Russian Federation. The work of the second, fifth, sixth, seventh, and eighth authors was financially supported by the Mathematical Center in Akademgorodok under agreement no. 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.",

year = "2024",

month = mar,

doi = "10.1134/S1990478924010101",

language = "English",

volume = "18",

pages = "103--121",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - Post-Quantum Cryptosystems: Open Problems and Current Solutions. Isogeny-Based and Code-Based Cryptosystems

AU - Малыгина, Екатерина Сергеевна

AU - Куценко, Александр Владимирович

AU - Novoselov, S. A.

AU - Kolesnikov, N. S.

AU - Бахарев, Александр Олегович

AU - Хильчук, Ирина Сергеевна

AU - Шапоренко, Александр Сергеевич

AU - Токарева, Наталья Николаевна

N1 - The work of the first, third, and fourth authors was financially supported by the Kovalevskaya North-Western Mathematical Center of Immanuel Kant Baltic Federal University under agreement no. 075–02–2023–934 with the Ministry of Science and Higher Education of the Russian Federation. The work of the second, fifth, sixth, seventh, and eighth authors was financially supported by the Mathematical Center in Akademgorodok under agreement no. 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024/3

Y1 - 2024/3

N2 - This paper is a survey of modern post-quantum cryptographic schemes based on codesand isogenies. Special attention is paid to cryptanalysis of these schemes. In particular, forcode-based cryptosystems we describe the information set decoding and the support splittingalgorithm as main attacks, and for cryptosystems based on isogenies we describe in detail theCastryck–Decru attack on SIDH/SIKE.

AB - This paper is a survey of modern post-quantum cryptographic schemes based on codesand isogenies. Special attention is paid to cryptanalysis of these schemes. In particular, forcode-based cryptosystems we describe the information set decoding and the support splittingalgorithm as main attacks, and for cryptosystems based on isogenies we describe in detail theCastryck–Decru attack on SIDH/SIKE.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85191374884&origin=inward&txGid=3b274e23577b3a7018f1082c06f12815

UR - https://elibrary.ru/item.asp?id=67311801

U2 - 10.1134/S1990478924010101

DO - 10.1134/S1990478924010101

M3 - Article

VL - 18

SP - 103

EP - 121

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 1

M1 - 10

ER -

ID: 60747114