Results 41 to 50 of about 699,908 (302)
Nonlinearities in Elliptic Curve Authentication [PDF]
Entropy, 2014 In order to construct the border solutions for nonsupersingular elliptic curve equations, some common used models need to be adapted from linear treated cases for use in particular nonlinear cases. There are some approaches that conclude with these solutions.
Ramzi Alsaedi +2 more
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Elliptic curves with a pre-determined embedding degree [PDF]
, 2009 A pairing over an elliptic curve E(F_) to an extension field of F_ has begun to be attractive in cryptosystems, where k is called the embedding degree. The cryptosystems using a pairing are called the pairing-based cryptosystems.
Atsuko Miyaji +3 more
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An ECDLP-Based Verifiable Multi-Secret Sharing Scheme [PDF]
Mathematics Interdisciplinary Research, 2020 Secret sharing is an important issue in cryptography which has many applications. In a secret sharing scheme, a secret is shared by a dealer among several participants in such a way that any authorized subset of participants can recover the secret ...
Khadijeh Eslami, Mojtaba Bahramian
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On the Density of Elliptic Curves [PDF]
Compositio Mathematica, 2001 We show that 17.9% of all elliptic curves over Q , ordered by their exponential height, are semistable, and that there is a positive density subset of elliptic curves for which the root numbers are uniformly distributed. Moreover, for any α > 1/6 (resp. α > 1/12) the set of Frey curves (
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Scalar multiplication on Weierstraß elliptic curves from Co-Z arithmetic [PDF]
, 2011 In 2007, Meloni 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 formula (and register allocations) for various point additions on Weierstrass ...
Atsuko Miyaji +9 more
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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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Path planning for simple wheeled robots : sub-Riemannian and elastic curves on SE(2) [PDF]
, 2013 This paper presents a motion planning method for a simple wheeled robot in two cases: (i) where translational and rotational speeds are arbitrary and (ii) where the robot is constrained to move forwards at unit speed.
Biggs, James, Maclean, Craig David
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Triangles and elliptic curves, V
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994 The author continues his work on elliptic curves associated to triangles as described in part I, ibid. 70, No. 4, 106-108; part II, ibid., No. 7, 223-225; and part III, ibid., No. 10, 311-314 (1994); see respectively Zbl 0824.14028 and 14029 and Zbl 0832.14021).
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A Feynman integral depending on two elliptic curves
Journal of High Energy Physics, 2022 We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
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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.
Lange, Herbert, Newstead, P. E.
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