Elliptic Curve Cryptography (ECC) provides a similar level of security to conventional integer-
based public-key algorithms, but with much shorter keys. ECC over binary field is of special …

Abstract Elliptic Curve Cryptography (ECC) is a promising alternative for public-key
algorithms in resource-constrained systems because it provides a similar level of security …

The computational cost of encryption is a barrier to wider application of a variety of data
security protocols. Virtually all research on elliptic curve cryptography (ECC) provides …

Recently, Finite Fields are the most important security mathematical function in the area of
elliptic curve cryptography. In this paper, we classify the finite fields into a prime field and a …

In the group of public key algorithms, elliptic curve cryptosystems (or ECC) are widely
considered as the best compromise in terms of speed, memory requirement and security …

We present a new multiplication algorithm for the implementation of elliptic curve
cryptography (ECC) over the finite extension fields GF (p/sup k/) where p is a prime number …

Elliptic curve (EC) cryptosystems have become more attractive due to their small key sizes
and varieties of choices of the curves available. However, it is not efficient to implement them …

Elliptic curve cryptography (ECC) has been the focus of much recent attention since it offers
the highest security per bit of any known public key cryptosystem. This benefit of smaller key …

There are many drawbacks in current encryption algorithms in respect of security, real-time
performance and so on, and researchers are presenting various algorithms. Among them …

This paper describes the implementations and test results of elliptic curve cryptography
(ECC) and elliptic curve digital signature algorithm (ECDSA) algorithms based on Java card …