Results 81 to 90 of about 2,272,026 (278)
On the stratification by X-ranks of a linearly normal elliptic curve X ⊂ P^n
Le Matematiche, 2015 Let X⊂ P^n be a linearly normal elliptic curve. For any P in P^n the X-rank of P is the minimal cardinality of a set S ⊂ X such that P in \langle S \rangle.In this paper we give an almost complete description of the stratification of P^n given by the X ...
Edoardo Ballico
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On 12-congruences of elliptic curves
International Journal of Number Theory, 2023 We construct infinite families of pairs of (geometrically non-isogenous) elliptic curves defined over [Formula: see text] with [Formula: see text]-torsion subgroups that are isomorphic as Galois modules. This extends previous work of Chen and Fisher where it is assumed that the underlying isomorphism of [Formula: see text]-torsion subgroups respects ...
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An efficient method to generate elliptic curves
Tongxin xuebao, 2001 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]
ICTACT Journal on Communication Technology, 2012 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
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Mathematische Annalen, 2018 In this paper we describe the category of motives for an elliptic curve in the sense of Voevodsky as a derived category of dg modules over a commutative differential graded algebra in the category of representations over some reductive group.
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The elliptic modular functions associated with the elliptic norm curve 𝐸⁷ [PDF]
, 1922 Roscoe Woods
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Bilinear pairings on elliptic curves [PDF]
L’Enseignement Mathématique, 2016 We give an elementary and self-contained introduction to pairings on elliptic curves over finite fields. The three different definitions of the Weil pairing that can be found in the literature are stated and proved to be equivalent using Weil reciprocity. Pairings with shorter loops, such as the ate, ate _i
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Design System of the High Order Elliptic Gear Pair Pitch Curve based on the SolidWorks
Jixie chuandong, 2017 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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Elliptic Curve Cryptography with Machine Learning
CryptographyElliptic 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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Some relations and groups of birational transforms on a general elliptic plane curve [I.] [PDF]
, 1924 Bohumil Machytka
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