Results 31 to 40 of about 840,292 (299)
A SURVEY OF ELLIPTIC CURVE CRYPTOGRAPHY
Electrica, 2006 As the importance of information increases, many various methods are being used for keeping this information and trasfering confidently. One of these methods is cryptographic algorithms.
M.Ali AYDIN, G.Zeynep AYDIN
doaj +2 more sources
Murmurations of Elliptic Curves
Experimental Mathematics27 pages, 16 figures, 2 ...
Yang-Hui He +3 more
openaire +3 more sources
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 (
openaire +2 more sources
Multi-Functional Resource-Constrained Elliptic Curve Cryptographic Processor
IEEE Access, 2023 With the rising data evolution, the demand for secured communications over networks is rising immensely. Elliptic Curve Cryptography (ECC) provides an attractive solution to fulfill the requirements of modern network applications.
Binh Kieu Do-Nguyen +4 more
doaj +1 more source
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
openaire +2 more sources
Determining Minimal Polynomial of Proper Element by Using Higher Degree Traces [PDF]
, 2001 Modern communication engineerings, such as elliptic curve cryptographies, often requires algebra on finite extension field defined by modulus arithmetic with an irreducible polynomial. This paper provides a new method to detemine the minimal (irreducible)
Morikawa, Yoshitaka, Nogami, Yasuyuki
core +1 more source
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).
openaire +11 more sources
Upper bound for the height of S-integral points on elliptic curves [PDF]
, 2013 We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea +3 more
core +1 more source
Methods for using elliptic curves in cryptography [PDF]
E3S Web of ConferencesElliptic Curve Cryptography (ECC), a significant modern cryptography, is more secure and robust than most others due to its construction using an elliptic curve and the application of mathematical operations for encryption and key generation. Furthermore,
Obukhov Vadim +4 more
doaj +1 more source
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.
openaire +3 more sources