Results 31 to 40 of about 2,536,804 (344)
On the ρ-values of complete families of pairing-friendly elliptic curves
Journal of Mathematical Cryptology, 2012 The parameter ρ of a complete family of pairing-friendly elliptic curves represents how suitable some given elliptic curves are in pairing-based cryptographic schemes. The superiority of the curves depends on how close ρ is to 1.
Okano Keiji
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Elliptic Curves with Complex Multiplication [PDF]
, 2022 openAn elliptic curve has complex multiplication if its ring of endomorphisms is stricly larger than $\mathbb{Z}$, in this case special simmetry arises from the additional structure.
MARCHESINI, LUCA
core
International Journal of Mathematics and Mathematical Sciences, 2015 Elliptic curves have a wide variety of applications in computational number theory such as elliptic curve cryptography, pairing based cryptography, primality tests, and integer factorization.
Keisuke Hakuta
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Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
مجلة بغداد للعلوم, 2016 Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen,
Baghdad Science Journal
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, 2011 textThis report discusses the history, use, and future of elliptic curves. Uses of elliptic curves in various number theory settings are presented. Fermat’s Last Proof is shown to be proven with elliptic curves.
Jensen, Crystal Dawn
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On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2017 In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted ...
Virginija Garbaliauskienė
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Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Elliptic curve cryptography includes symmetric key cryptography systems that base their security on mathematical problems of elliptic curves. There are several ways that can be used to define the elliptic curve equation that depends on the infinite field
Juhari Juhari, Mohamad Febry Andrean
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Co-Z Addition Formulæ and Binary Ladders on Elliptic Curves [PDF]
, 2010 Meloni recently introduced a new type of arithmetic on elliptic curves when adding projective points sharing the same Z-coordinate. This paper presents further co-Z addition formulæ for various point additions on Weierstraß elliptic curves.
Atsuko Miyaji +5 more
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On Cycles of Pairing-Friendly Elliptic Curves [PDF]
SIAM Journal on applied algebra and geometry, 2018 A cycle of elliptic curves is a list of elliptic curves over finite fields such that the number of points on one curve is equal to the size of the field of definition of the next, in a cyclic way.
A. Chiesa, Lynn Chua, M. Weidner
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Mathieu Equation and Elliptic Curve [PDF]
Communications in Theoretical Physics, 2012 12 pages; minor improvement of the Conclusion section, references ...
He, Wei, Miao, Yan-Gang
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