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FOCS
1992
IEEE
14 years 2 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
SODA
2010
ACM
169views Algorithms» more  SODA 2010»
14 years 8 months ago
Efficiently Decodable Non-adaptive Group Testing
We consider the following "efficiently decodable" nonadaptive group testing problem. There is an unknown string x {0, 1}n with at most d ones in it. We are allowed to t...
Piotr Indyk, Hung Q. Ngo, Atri Rudra
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 11 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
DM
2006
128views more  DM 2006»
13 years 11 months ago
Non-trivial t-designs without repeated blocks exist for all t
A computer package is being developed at Bayreuth for the generation and investigation of discrete structures. The package is a C and C++ class library of powerful algorithms endow...
Luc Teirlinck