TCS
2002
13 years 10 months ago
2002
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
JSW
2007
13 years 10 months ago
2007
— The paper addresses software and firmware implementation of multiple-output Boolean functions based on cascades of Look-Up Tables (LUTs). A LUT cascade is described as a means ...
TIT
2008
13 years 10 months ago
2008
The nonlinearity profile of a Boolean function (i.e. the sequence of its minimum Hamming distances nlr(f) to all functions of degrees at most r, for r 1) is a cryptographic crite...
TCS
2008
13 years 10 months ago
2008
It was proved few years ago that classes of Boolean functions definable by means of functional equations [9], or equivalently, by means of relational constraints [16], coincide wit...
MST
2006
13 years 10 months ago
2006
The "regularity" of a Boolean function can be exploited for decreasing its minimization time. It has already been shown that the notion of autosymmetry is a valid measure...
JCT
2006
13 years 10 months ago
2006
A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of ...
IANDC
2006
13 years 10 months ago
2006
We characterise the aperiodic autocorrelation for a Boolean function, f, and define the Aperiodic Propagation Criteria (APC) of degree l and order q. We establish the strong simil...
DM
2006
13 years 10 months ago
2006
In 1983, Patterson and Wiedemann constructed Boolean functions on n = 15 input variables having nonlinearity strictly greater than 2n-1 -2 n-1 2 . Construction of Boolean function...
FFA
2008
13 years 10 months ago
2008
We study the Boolean functions f :F2n F2, n = 6r, of the form f (x) = Tr(xd) with d = 22r + 2r + 1 and F2n . Our main result is the characterization of those for which f are b...
ECCC
2010
13 years 10 months ago
2010
Abstract--There has been a sequence of recent papers devoted to understanding the relation between the testability of properties of Boolean functions and the invariance of the prop...