Results 61 to 70 of about 14,447 (145)
An efficient method to generate elliptic curves
In this paper, an efficient method to generate elliptic curves for public key cryptosystems based on discrete logarithm problem is presented. Usually, to resist possible attacks, such as MOV reduction, public key cryptosystems based on elliptic curve E ...
ZHOU Chang-ying1+2 more
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EFFICIENCY AND EFFECTIVENESS ANALYSIS OVER ECC-BASED DIRECT AND INDIRECT AUTHENTICATION PROTOCOLS: AN EXTENSIVE COMPARATIVE STUDY [PDF]
Elliptic curve cryptography finds enormous applications because of its security offering using the remarkable property of elliptic curve. The Elliptic curve cryptography finds enormous applications in almost all the emerging areas.
K. Thilagavathi, P.G.Rajeswari
doaj
The history of the Universe is an elliptic curve [PDF]
30 pages, 16 ...
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Huff’s Model for Elliptic Curves [PDF]
This paper revisits a model for elliptic curves over ℚ introduced by Huff in 1948 to study a diophantine problem. Huff’s model readily extends over fields of odd characteristic. Every elliptic curve over such a field and containing a copy of ℤ/4ℤ ×ℤ/2ℤ is birationally equivalent to a Huff curve over the original field.
Joye, Marc+2 more
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Elliptic Curve Cryptography with Machine Learning
Elliptic Curve Cryptography (ECC) is a technology based on the arithmetic of elliptic curves used to build strong and efficient cryptosystems and infrastructures. Several ECC systems, such as the Diffie–Hellman key exchange and the Elliptic Curve Digital
Jihane Jebrane+3 more
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It is interesting to recall that, in connexion with a lecture by Prof. R. Fueter at the 1932 Zurich Congress, Hilbert asserted that the theory of complex multiplication of elliptic modular functions which forms a powerful link between number theory and analysis, is not only the most beautiful part of mathematics but also of all science.
Koymans, Peter, Uttenthal, Peter Vang
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Elliptic curves on Abelian varieties [PDF]
Given a principally polarized abelian variety $(A, )$, we give a characterization of all elliptic curves that lie on $A$ in terms of intersection numbers of divisor classes in its N ron-Severi group.
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Design System of the High Order Elliptic Gear Pair Pitch Curve based on the SolidWorks
In order to improve the problem of design calculation complex and manufacturing difficulty of non- circular gear pair,taking the high order elliptic non- circular gears as the research object,according to the principle of non- circular gear meshing,the ...
Yan Zhaochao+3 more
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Secure ECDSA SRAM-PUF Based on Universal Single/Double Scalar Multiplication Architecture
Physically unclonable functions (PUFs) are crucial for enhancing cybersecurity by providing unique, intrinsic identifiers for electronic devices, thus ensuring their authenticity and preventing unauthorized cloning.
Jingqi Zhang+8 more
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Some relations and groups of birational transforms on a general elliptic plane curve [I.] [PDF]
Bohumil Machytka
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