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» On Learning Boolean Functions
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ICCAD
1996
IEEE
87views Hardware» more  ICCAD 1996»
15 years 4 months ago
Partitioned ROBDDs - a compact, canonical and efficiently manipulable representation for Boolean functions
We presenta new representationfor Boolean functions called PartitionedROBDDs. In this representation we divide the Boolean space into `k' partitions and represent a function ...
Amit Narayan, Jawahar Jain, Masahiro Fujita, Alber...
TIT
2008
78views more  TIT 2008»
14 years 11 months ago
Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
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...
Claude Carlet
DCC
2008
IEEE
15 years 11 months ago
On Boolean functions with the sum of every two of them being bent
A set of Boolean functions is called a bent set if the sum of any two distinct members is a bent function. We show that any bent set yields a homogeneous system of linked symmetric...
Christian Bey, Gohar M. M. Kyureghyan
FSE
2004
Springer
113views Cryptology» more  FSE 2004»
15 years 5 months ago
Minimum Distance between Bent and 1-Resilient Boolean Functions
In this paper we study the minimum distance between the set of bent functions and the set of 1-resilient Boolean functions and present a lower bound on that. The bound is proved to...
Soumen Maity, Subhamoy Maitra
TIT
2008
130views more  TIT 2008»
14 years 11 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager