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» A Lower Bound for Primality
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IACR
2011
108views more  IACR 2011»
12 years 7 months ago
On lower bounds on second-order nonliearities of bent functions obtained by using Niho power functions
Abstract. In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form f(x) = Trn 1 (α1xd1 + α2xd2 ), where d1 and d2 are Niho ex...
Manish Garg, Sugata Gangopadhyay
APPROX
2007
Springer
86views Algorithms» more  APPROX 2007»
13 years 11 months ago
Lower Bounds for Swapping Arthur and Merlin
We prove a lower bound for swapping the order of Arthur and Merlin in two-round MerlinArthur games using black-box techniques. Namely, we show that any AM-game requires time (t2 )...
Scott Diehl
FLAIRS
2008
13 years 8 months ago
On Applying Unit Propagation-Based Lower Bounds in Pseudo-Boolean Optimization
Unit propagation-based (UP) lower bounds are used in the vast majority of current Max-SAT solvers. However, lower bounds based on UP have seldom been applied in PseudoBoolean Opti...
Federico Heras, Vasco M. Manquinho, João Ma...
ML
2007
ACM
108views Machine Learning» more  ML 2007»
13 years 7 months ago
Unconditional lower bounds for learning intersections of halfspaces
We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statist...
Adam R. Klivans, Alexander A. Sherstov
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 8 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson