An enhanced Elliptic Curve Cryptography for biometric

Cryptography is one of the important sciences in the current era. The importance of cryptography comes from the intensive digital transactions which we daily perform on the internet and other communication channels. In this paper, we will discuss the relationship between cryptography and mathematics in the context of Elliptic Curve (EC). ECs are mathematical NP-hard problems, which are proofed to be intractable in term of complexity. Cryptography has efficiently utilized the strength EC in developing several cryptosystems such as key agreement protocols, digital signatures and others. Elliptic Curve Cryptography (ECC) usage is with smaller key to give high security and high speed in a low bandwidth. ECC is considered as the best method for upcoming applications. This paper presents the idea of biometric signature - a new method to combine biometrics with public key infrastructure (PKI), the security can be increased using the ECC in biometric signature creation, because the private and public keys are produced without saving and sending any secret information anywhere.