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ASIACRYPT
2003
Springer
13 years 10 months ago
Index Calculus Attack for Hyperelliptic Curves of Small Genus
We present a variation of the index calculus attack by Gaudry which can be used to solve the discrete logarithm problem in the Jacobian of hyperelliptic curves. The new algorithm h...
Nicolas Thériault
ACISP
2010
Springer
13 years 7 months ago
Security Estimates for Quadratic Field Based Cryptosystems
Abstract. We describe implementations for solving the discrete logarithm problem in the class group of an imaginary quadratic field and in the infrastructure of a real quadratic fi...
Jean-François Biasse, Michael J. Jacobson, ...
PODC
2004
ACM
13 years 11 months ago
Compact routing on euclidian metrics
We consider the problem of designing a compact communication network that supports efficient routing in an Euclidean plane. Our network design and routing scheme achieves 1+ stret...
Ittai Abraham, Dahlia Malkhi
COCOON
2000
Springer
13 years 10 months ago
Recent Progress and Prospects for Integer Factorisation Algorithms
The integer factorisation and discrete logarithm problems are of practical importance because of the widespread use of public key cryptosystems whose security depends on the presum...
Richard P. Brent
COMPGEOM
2010
ACM
13 years 10 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg