Study of the Real Number Field Extension Operand of Elliptic Curve Cryptography

Fpga Implementation for Elliptic Curve Cryptography over Binary Extension Field

....................................................................................................................... iv DEDICATION ..................................................................................................................... v ACKNOWLEDGEMENTS ................................................................................................ vi LIST OF TABLES ..............

Software Elliptic Curve Cryptography

In this thesis, we study the software implementation of the NIST-recommended elliptic curves over prime fields. Our implementation goals are to achieve a fast, small, and portable cryptographic library, which supports elliptic curve digital signature generation and verification. The implementation results are presented on a Pentium I1 448.81 MHz. We also consider the sliding window algorithm (S...

Elliptic Curve Cryptography

There is a re-emerging demand for low-end devices such as 8-bit processors, driven by needs for pervasive applications like sensor networks and RF-ID tags. Security in pervasive applications, however, has been a major concern for their widespread acceptance. Public-key cryptosystems (PKC) like RSA and DSA generally involve computation-intensive arithmetic operations with operand sizes of 1024 −...

Elliptic Curve Cryptography

Applications of Elliptic Curve Cryptography

The point of this paper is to create a basis for apply efficient encryption schemes in wireless communications and in devices with low computing power and resources. Elliptic Curve Cryptography (ECC) fits well for an efficient and secure encryption scheme. It is more efficient than the traditional integer based RSA schemes because ECC utilizes smaller key sizes for equivalent security. A compar...