Cryptography over the elliptic curve Ea,b(A3)

Platform Independent Elliptic Curve Cryptography over

Elliptic curve cryptography has long since moved into several wellknown standards like IEEE’s 1363, SEC and X9.62. With its small key sizes it is just right for many crypto applications, in particular for mobile computing and communication devices. To make ECC easily available for all these different applications, a highly efficient and platformindependent implementation of ECC is necessary. Th...

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

Elliptic Curve Cryptography

Public key cryptography systems are based on sound mathematical foundations that are designed to make the problem hard for an intruder to break into the system. The major approaches that since 1976 have withstood intruder attacks, are the discrete logarithm Mr. Raja Ghosal PhD Student, Auto-ID Lab, ADELAIDE School of Electrical and Electronics Engineering, The University of Adelaide Prof. Peter...