Results 31 to 40 of about 890,810 (300)

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

DHB-KEY - A Diffie-Hellman Key Distribution Protocol for Wireless Sensor Networks [PDF]

, 2008
Many sensor network applications require secure communication between sensor nodes and the sink. This paper presents a key distribution scheme based on the well known Elliptic Curve Diffie-Hellman key exchange mechanism.
Roedig, Utz, Chung, Antony
core   +3 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, Cuong Pham-Quoc, Ngoc-Thinh Tran, Cong-Kha Pham, Trong-Thuc Hoang   +4 more
doaj   +1 more source

Murmurations of Elliptic Curves

Experimental Mathematics
27 pages, 16 figures, 2 ...
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver, Alexey Pozdnyakov   +3 more
openaire   +3 more sources

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

An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence [PDF]

, 2019
Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key ...
Naning @ Zin, Fatin Hana, Yiu, Pang Hung, Sarbini, Izzatul Nabila, Koo, Lee Feng, Wong, Tze Jin   +4 more
core   +2 more sources

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

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

Methods for using elliptic curves in cryptography [PDF]

E3S Web of Conferences
Elliptic 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, Qadamova Zulayho, Sobirov Muzaffar, Ergashev Otabek, Nabijonov Ravshanbek   +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