Title :
The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems
Author :
Frey, Gerhard ; Müller, Michael ; Rück, Hans-Georg
Author_Institution :
Inst. for Exp. Math., Essen Univ., Germany
fDate :
7/1/1999 12:00:00 AM
Abstract :
The Tate pairing is used to reduce the discrete logarithm (DL) problem on certain elliptic curves to the DL in the multiplicative group of finite fields
Keywords :
cryptography; group theory; Tate pairing; discrete logarithm; elliptic curve cryptosystems; finite fields; multiplicative group; Decoding; Elliptic curve cryptography; Equations; Probability; Voting;
Journal_Title :
Information Theory, IEEE Transactions on
