Identity-Based Digital Signature Algorithm in Key Exchange on CTP Curves

A point and its distortion map on the class three supersingular elliptic curves over GF(p
²
) with positive parameter (CTP curves) constitute a bilinear pairing. An elliptic curve tripartite Diffie-Hellman key exchange protocol on CTP curves is introduced in the paper Because this method is easily attacked by `man-in-the-middle', we propose a new identity-based elliptic curve signature algorithm to sign the transmitting message. The private key can be generated and computed easily in the algorithm. Its implementation provides a good reference for the multipartite key exchange protocol as well