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» Symmetric Subgroup Membership Problems
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PKC
2005
Springer
67views Cryptology» more  PKC 2005»
13 years 10 months ago
Symmetric Subgroup Membership Problems
Abstract. We define and discuss symmetric subgroup membership problems and their properties, including a relation to the Decision DiffieHellman problem. We modify the Cramer-Shoup...
Kristian Gjøsteen
ACISP
2001
Springer
13 years 9 months ago
Private Information Retrieval Based on the Subgroup Membership Problem
Abstract. Many algorithmic problems, which are used to prove the security of a cryptographic system, are shown to be characterized as the subgroup membership problem. We then apply...
Akihiro Yamamura, Taiichi Saito
SIAMCOMP
2008
80views more  SIAMCOMP 2008»
13 years 5 months ago
The Symmetric Group Defies Strong Fourier Sampling
Part I of this paper showed that the hidden subgroup problem over the symmetric group--including the special case relevant to Graph Isomorphism--cannot be efficiently solved by st...
Cristopher Moore, Alexander Russell, Leonard J. Sc...
ICTCS
2005
Springer
13 years 10 months ago
Quantum Algorithms for a Set of Group Theoretic Problems
This work introduces two decision problems, StabilizerD and Orbit CosetD, and gives quantum reductions from them to the problem Orbit Superposition (Friedl et al., 2003), as well a...
Stephen A. Fenner, Yong Zhang
FOCS
1992
IEEE
13 years 9 months ago
Computing in Solvable Matrix Groups
We announce methods for e cient management of solvable matrix groups over nite elds. We show that solvability and nilpotence can be tested in polynomial-time. Such e ciency seems ...
Eugene M. Luks