19 search results - page 4 / 4 » Trapdooring Discrete Logarithms on Elliptic Curves over Ring... |
EUROCRYPT
1999
Springer
13 years 9 months ago
1999
Springer
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
In this paper we investigate the efficiency of the function field sieve to compute discrete logarithms in the finite fields F3n . Motivated by attacks on identity based encrypti...
EUROCRYPT
2001
Springer
13 years 9 months ago
2001
Springer
Abstract. We show that finding an efficiently computable injective homomorphism from the XTR subgroup into the group of points over GF(p2 ) of a particular type of supersingular e...
CHES
2008
Springer
13 years 7 months ago
2008
Springer
Elliptic Curve Cryptosystems (ECC) have gained increasing acceptance in practice due to their significantly smaller bit size of the operands compared to other public-key cryptosyst...