The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems

作者: G. Frey , M. Muller , H.-G. Ruck

DOI: 10.1109/18.771254

关键词:

摘要: The Tate pairing is used to reduce the discrete logarithm (DL) problem on certain elliptic curves DL in multiplicative group of finite fields.

参考文章(5)
Hans-Georg Rück, On the discrete logarithm in the divisor class group of curves Mathematics of Computation. ,vol. 68, pp. 805- 806 ,(1999) , 10.1090/S0025-5718-99-01043-1
Gerhard Frey, Hans-Georg Ruck, A remark concerning m -divisibility and the discrete logarithm in the divisor class group of curves Mathematics of Computation. ,vol. 62, pp. 865- 874 ,(1994) , 10.2307/2153546
A.J. Menezes, T. Okamoto, S.A. Vanstone, Reducing elliptic curve logarithms to logarithms in a finite field IEEE Transactions on Information Theory. ,vol. 39, pp. 1639- 1646 ,(1993) , 10.1109/18.259647