Results 81 to 90 of about 811,200 (202)

Comparison between the RSA cryptosystem and elliptic curve cryptography [PDF]

, 2010
In the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc).
Abdullah, Kamilah
core  

Isolated elliptic curves and the MOV attack

Journal of Mathematical Cryptology, 2017
We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman–Horn conjecture, we prove that elliptic curves produced this way
Scholl Travis
doaj   +1 more source

p-adic uniformization of elliptic curves [PDF]

openThis thesis studies elliptic curves on various fields to gain a deeper understanding of Tate’s p-adic uniformisation theorem. The first chapter consists of an overview on elliptic curves with their properties, for example the Group Law, and elliptic ...
TONON, FRANCESCO
core  

Pseudorandom Sequences from Elliptic Curves [PDF]

, 2002
In this article we will generalize some known constructions to produce pseudorandom sequences with the aid of elliptic curves.
J. M. Doumen, P. H. T. Beelen, Doumen, J.M., Beelen, P.H.T.   +3 more
core   +1 more source

Elliptic Curves Cryptography

, 2012
In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a vast area of mathematics. Elliptic curves have basics in group theory andnumber theory. The points on elliptic curve forms a group under the operation of
Idrees, Zunera
core   +4 more sources

Elliptic curves [PDF]

, 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
core  

A Weighted Universality Theorem for L-Functions of Elliptic Curves

Jaunųjų Mokslininkų Darbai, 2018
In the paper, a short survey on universality results for L-functions of elliptic curves over the field of rational numbers is given and weighted universality theorem is proven. All stated universality theorems are of continuous type.
Antanas Garbaliauskas, Virginija Garbaliauskienė   +1 more
doaj   +1 more source

Champion Primes For Elliptic Curves

Integers, 2014
See the abstract in the attached pdf.
Jason Hedetniemi, Kevin James, Hui Xue
openaire   +4 more sources

Counting points on elliptic curves

, 2023
Using relatively elementary terminology, we will discuss a natural question on the number of rational points on an elliptic curve.
Oliver, T., Wuthrich, C.
core   +1 more source

Non-vanishing of Artin-twisted L-functions of elliptic curves [PDF]

, 2013
Let E be an elliptic curve and ρ an Artin representation, both defined over Q. Let p be a prime at which E has good reduction. We prove that there exists an infinite set of Dirichlet characters χ, ramified only at p, such that the Artin-twisted L-values ...
Ward, Thomas
core