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» The Nonhomomorphicity of Boolean Functions
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IACR
2011
108views more  IACR 2011»
14 years 1 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
ISAAC
1993
Springer
149views Algorithms» more  ISAAC 1993»
15 years 5 months ago
The Complexity of the Optimal Variable Ordering Problems of Shared Binary Decision Diagrams
A binary decision diagram (BDD) is a directed acyclic graph for representing a Boolean function. BDD’s are widely used in various areas which require Boolean function manipulatio...
Seiichiro Tani, Kiyoharu Hamaguchi, Shuzo Yajima
DM
2010
119views more  DM 2010»
15 years 1 months ago
Influences of monotone Boolean functions
Recently, Keller and Pilpel conjectured that the influence of a monotone Boolean function does not decrease if we apply to it an invertible linear transformation. Our aim in this s...
Demetres Christofides
CATS
2006
15 years 2 months ago
Boolean equation solving as graph traversal
We present a new method for finding closed forms of recursive Boolean function definitions. Traditionally, these closed forms are found by iteratively approximating until a fixed ...
Brian Herlihy, Peter Schachte, Harald Sønde...
WCC
2005
Springer
156views Cryptology» more  WCC 2005»
15 years 6 months ago
One and Two-Variable Interlace Polynomials: A Spectral Interpretation
We relate the one- and two-variable interlace polynomials of a graph to the spectra of a quadratic boolean function with respect to a strategic subset of local unitary transforms. ...
Constanza Riera, Matthew G. Parker