A Fast FPGA Implementation of Tate Pairing in Cryptography Over Binary Field

Identity based cryptography schemes have opened a new territory for public key cryptography. Using identity based cryptography schemes, a sender can derive the public key of a receiver without receiving the certificate of the receiver issued by a Certificate Authority (CA). The public key can be derived from the identity of the receiver such as the email or IP address. Pairing over elliptic curve can be used to construct the identity based cryptography schemes. It is a map from two points on the elliptic curve to another multiplicative group. It has special properties of bilinearity. Currently, the most commonly used pairing methods are Tate pairing and Weil pairing. Originally, Weil pairing was used to attack public key cryptosystems.