Results 61 to 70 of about 2,272,026 (278)
On the property of divisibility points of elliptic curves over finite fields on two
Наука. Инновации. Технологии, 2022 In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve.
Michail Grigorievich Babenko +2 more
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ELLIPTIC-CURVE CRYPTOGRAPHY (ECC) AND ARGON2 ALGORITHM IN PHP USING OPENSSL AND SODIUM LIBRARIES
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020 This paper presents the elliptic-curve cryptography (ECC) and Argon2 algorithm in PHP using OpenSSL and Sodium cryptographic libraries. The vital part of this thesis presents an analysis of the efficiency of elliptic-curve cryptography (ECC) and the ...
Mariusz Duka
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Nested Method for Optimizing Elliptic Curve Scalar Multiplication [PDF]
Engineering and Technology Journal, 2017 The algebraic curve that attracted considerable interest in recent years is called Elliptic Curve (EC). This is due to the computational complexity of its arithmetic over a finite field.
N. Ghanim, M. Magamiss
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Asymmetric Encryption of Invisible Structured Light 3D Imaging
Applied Sciences, 2022 The research proposes a novel invisible structured light 3D object encryption method. The system projects invisible light on the target plane to achieve three-dimensional object reconstruction.
Jing Zhang, Aimin Yan, Hongbo Zhang
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An ultradiscrete integrable map arising from a pair of tropical elliptic pencils
, 2010 We present a tropical geometric description of a piecewise linear map whose invariant curve is a concave polygon. In contrast to convex polygons, a concave one is not directly related to tropical geometry; nevertheless the description is given in terms ...
Atsushi Nobe +18 more
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COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Herbert Lange, Peter E. Newstead
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Mathieu equation and Elliptic curve
, 2011 We present a relation between the Mathieu equation and a particular elliptic curve. We find that the Floquet exponent of the Mathieu equation, for both $q>1$, can be obtained from the integral of a differential one form along the two homology cycles of ...
He, Wei, Miao, Yan-Gang
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The Elliptic curves in gauge theory, string theory, and cohomology
, 2005 Elliptic curves play a natural and important role in elliptic cohomology. In earlier work with I. Kriz, thes elliptic curves were interpreted physically in two ways: as corresponding to the intersection of M2 and M5 in the context of (the reduction of M ...
D. Husemöller +18 more
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Elliptic Curves - an Introduction [PDF]
Irish Mathematical Society Bulletin, 2007 Elliptic curves – an introduction ...
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On hashing into elliptic curves [PDF]
Journal of Mathematical Cryptology, 2009 We study the hash function from a finite field 𝔽q into an elliptic curve over 𝔽q which has recently been introduced by T. Icart. In particular we slightly adjust and prove the asymptotic formula conjectured by T. Icart for the image size of this function.
José Felipe Voloch +2 more
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