Zobrazeno 1 - 10
of 13
pro vyhledávání: '"A. V. Bessalov"'
Autor:
A. V. Bessalov, V. E. Chevardin
Publikováno v:
Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï, Iss 4 (2012)
Представлено результати аналізу аналітичних виразів трансформації несуперсингулярних еліптичних кривих у канонічній формі для крипт
Externí odkaz:
https://doaj.org/article/b2318789226f412daf49f49c825053a5
Autor:
Anatoliy V. Bessalov
Publikováno v:
Кібербезпека: освіта, наука, техніка, Vol 1, Iss 1, Pp 94-104 (2018)
Запропоновано метод пошуку криптостійких еліптичних кривих у формі Едвардса (де параметр квадратичний не лишок у полі) над розширеними
Externí odkaz:
https://doaj.org/article/6a2f7bea1f8f47249c549def042f6bc9
Autor:
A. V. Bessalov, S. V. Abramov
Publikováno v:
Cybernetics and Systems Analysis. 58:851-861
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f898d771891a1f56590823fbd8e30c5
https://doi.org/10.1007/s10559-023-00518-w
https://doi.org/10.1007/s10559-023-00518-w
Autor:
A. V. Bessalov, L. V. Kovalchuk
Publikováno v:
Cybernetics and Systems Analysis. 55:731-741
Theorems on the conditions for the existence of supersingular Edwards curves over a prime field with the j-invariant equal to 663 and with other values of j-invariants are formulated and proved. A generalization of the results obtained earlier is pre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26ae9dd4433bffa3f0f0a8110f900b7d
https://doi.org/10.1007/s10559-019-00183-y
https://doi.org/10.1007/s10559-019-00183-y
Autor:
L. V. Kovalchuk, A. V. Bessalov
Publikováno v:
Cybernetics and Systems Analysis. 55:347-353
An analysis of existence conditions of supersingular twisted Edwards curves over a prime field is given. Theorems on the conditions of existence of supersingular curves with j-invariants equal to zero and 123 in different classes of curves are formul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e21f11ba0e7903e22beb37fd109d609b
https://doi.org/10.1007/s10559-019-00140-9
https://doi.org/10.1007/s10559-019-00140-9
Autor:
Anatoliy V. Bessalov
Publikováno v:
Cybersecurity: Education, Science, Technique. :94-104
The method of search of cryptographic strong elliptic curves in the Edwards form (where parameter d is non square in the field) over the extended finite fields of small characteristics p ≠ 2.3 is proposed. For these curves is performed the complete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2afc32bd963007d559a011f4a5ee75e
https://doi.org/10.28925/2663-4023.2018.1.94104
https://doi.org/10.28925/2663-4023.2018.1.94104
Autor:
O. V. Tsygankova, A. V. Bessalov
Publikováno v:
Problems of Information Transmission. 53:92-101
We analyze properties of points of orders 2, 4, and 8 of a curve in the generalized Edwards form. Arithmetic for group operations with singular points of these curves is introduced. We propose a classification of curves in the Edwards form into three
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d95acae50bdfbda6178f1aa72164c715
https://doi.org/10.1134/s0032946017010082
https://doi.org/10.1134/s0032946017010082
Algorithms for Base Point Generation on an Edwards Curve with the Use of Point Divisibility Criteria
Publikováno v:
Cybernetics and Systems Analysis. 52:674-683
New criteria for Edwards curve point divisibility by 2, 4, and other natural numbers are obtained and proved. Using these results, new algorithms are constructed for extracting the root of arbitrary degree in the Edwards curve group and also new algo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cad15984e88bcf005243a97bc50b83c1
https://doi.org/10.1007/s10559-016-9870-x
https://doi.org/10.1007/s10559-016-9870-x
Publikováno v:
Modern information security.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::daaf997ea1a4fd6ecd4c6442056ea3fa
https://doi.org/10.31673/2409-7292.2019.046369
https://doi.org/10.31673/2409-7292.2019.046369
Autor:
A. V. Bessalov, O. V. Tsygankova
Publikováno v:
Problems of Information Transmission. 51:391-397
We propose a modification of the addition law on the Edwards curve over a prime field. We prove three theorems on properties of coordinates of high-order points and on a degenerate pair of twisted curves. We propose an algorithm for reconstructing al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b51adb3695dd9019a6c41367060826dc
https://doi.org/10.1134/s0032946015040080
https://doi.org/10.1134/s0032946015040080