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COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
DAGSTUHL
2006
13 years 9 months ago
Bounds on the Fourier Coefficients of the Weighted Sum Function
We estimate Fourier coefficients of a Boolean function which has recently been introduced in the study of read-once branching programs. Our bound implies that this function has an...
Igor Shparlinski
STOC
1999
ACM
85views Algorithms» more  STOC 1999»
13 years 12 months ago
A Theorem on Sensitivity and Applications in Private Computation
In this paper we prove a theorem that gives an (almost) tight upper bound on the sensitivity of a multiple-output Boolean function in terms of the sensitivity of its coordinates an...
Anna Gál, Adi Rosén
COLT
2008
Springer
13 years 9 months ago
Learning Acyclic Probabilistic Circuits Using Test Paths
We define a model of learning probabilistic acyclic circuits using value injection queries, in which an arbitrary subset of wires is set to fixed values, and the value on the sing...
Dana Angluin, James Aspnes, Jiang Chen, David Eise...
CRYPTO
2000
Springer
108views Cryptology» more  CRYPTO 2000»
13 years 12 months ago
Maximum Correlation Analysis of Nonlinear S-boxes in Stream Ciphers
Abstract. This paper investigates the design of S-boxes used for combining linear feedback shift register (LFSR) sequences in combination generators. Such combination generators ha...
Muxiang Zhang, Agnes Hui Chan