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Elliptic curve cryptosystems. (English) Zbl 0622.94015
Public key cryptosystems based on the structure of the group of points of an elliptic curve over a large finite field which may be more secure are described. After studying elliptic curve analogs of the Massey-Omura and ElGamal systems, the paper gives concrete examples, deals with primitive points and gives a theorem concerning the probability that the order of a cyclic subgroup generated by a global point is nonsmooth.

MSC:
94A60 Cryptography
14G50 Applications to coding theory and cryptography of arithmetic geometry
11T71 Algebraic coding theory; cryptography (number-theoretic aspects)
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