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Use of elliptic curves in cryptography. (English) Zbl 0589.94005
Advances in cryptology - CRYPTO ’85, Proc. Conf., Santa Barbara/Calif. 1985, Lect. Notes Comput. Sci. 218, 417-426 (1986).

Summary: [For the entire collection see Zbl 0583.00049.]

We discuss the use of elliptic curves in cryptography. In particular, we propose an analogue of the Diffie-Hellmann key exchange protocol which appears to be immune from attacks of the style of Western, Miller and Adleman. With the current bounds for infeasible attack, it appears to be about 20% faster than the Diffie-Hellmann scheme over GF(p). As computational power grows, this disparity should get rapidly bigger.


MSC:
94A60Cryptography