This project studies the mathematics of elliptic curves, starting with their
derivation and the proof of how points upon them form an additive abelian
group. We then work on the mathematics neccessary to use these groups
for cryptographic purposes, specifically results for the group formed by an
elliptic curve over a finite field, E(Fq). We examine the mathematics behind
the group of torsion points, to which every point in E(Fq) belongs, and
prove Hasse s theorem along with a number of other useful results. We finish ....etc

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elliptic curve cryptography implementation in ns2

Elliptic curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC requires smaller keys compared to non-ECC cryptography (based on plain Galois fields) to provide equivalent security.Elliptic curves are applicable for encryption, digital signatures, pseudo-random generators and other tasks. They are also used in several integer factorization algorithms that have applications in cryptography, s ....etc

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To get full information or details of elliptic curve cryptography please have a look on the pages

http://seminarsprojects.net/Thread-Elliptical-curve-cryptography-ECC?pid=573

if you again feel trouble on elliptic curve cryptography please reply in that page and ask specific fields in elliptic curve cryptography ....etc

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ns2 codings for hyper elliptic curve cryptography

Hyperelliptic curve cryptography is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an abelian group in which to do arithmetic, just as we use the group of points on an elliptic curve in ECC. ....etc

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To get full information or details of pseudo code for elliptic curve cryptography algorithm please have a look on the pages

http://seminarsprojects.net/Thread-elliptical-curve-cryptography-is-better-than-rsa?pid=3880#pid3880

if you again feel trouble on pseudo code for elliptic curve cryptography algorithm please reply in that page and ask specific fields in pseudo code for elliptic curve cryptography algorithm ....etc

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Submitted by
Dilgit D
Nishant Nair
Jeffy Jimmy Joseph
Nair Vishnu Unnikrishnan


Now tell your secret publically .
Introduction
This software enables encryption of data into an image and send it
Encryption , process of transforming information using an algorithm to make it unreadable .
The art and science of writing hidden messages in such a way that no one, apart from the sender and intended recipient, suspects the existence of the message .
This is implemented using two system and a l ....etc

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elliptic curve cryptography thesis source code matlab

ABSTRACT

In this expository thesis we study elliptic curves and their role in cryptography. In doing so we examine an intersection of linear algebra, abstract
algebra, number theory, and algebraic geometry, all of which combined provide the necessary background. First we present background information on rings, fields, groups, group actions, and linear algebra. Then we delve into the structure and classification of finite fields as well as construction of finite fields and computation in f ....etc

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Elliptic Curve Cryptography (ECC) is a public-key cryptographic technology that uses the mathematics of so called elliptic curves and it is a part of the Suite B of cryptographic algorithms approved by the NSA.
Since ECC requires fewer bits than RSA to achieve the same cipher strength, it is frequently used in embedded applications. The operations necessary for the ECC cannot be efficiently implemented on an embedded CPU, however, typically requiring hundreds of milliseconds of the CPU time for signature verification.
ECC1 implements by f ....etc

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The ultimate purpose of this project has been the implementation in MATLAB of an Elliptic Curve Cryptography (ECC) system, primarily the Elliptic Curve Diffie-Hellman (ECDH) key exchange. We first introduce the fundamentals of Elliptic Curves, over both the real numbers and the integers modulo p where p is prime. Then the theoretical underpinnings of the ECDH system are covered, including a brief look at how this system is broken. Next we develop the individual elements that will be needed in the implementation of ECDH, such as functions for ca ....etc

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I generated public and private key based on Ecc. but i need to Ecc function for addition and multiplication for user verification with that private and public key.. ....etc

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