An architecture of F(22N) multiplier for elliptic curves cryptosystem

The elliptic curves cryptosystem is a public key cryptosystem which has the potential to become the dominant encryption method for information and communication systems. This cryptosystem has the same security level compared with other public key cryptosystems, in spite of the relatively short key length that is employed. A short key length makes the encryption and decryption process much faster, requires a lower bandwidth for data and provides a more efficient implementation. An implementation of the elliptic curves cryptosystem needs a high performance finite field arithmetic module. In this paper we discuss an architecture of a finite field F(2²ⁿ) multiplier using normal basis representations. The proposed architecture offers lower computational time and lower complexity compared with other architectures