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» On the Symmetric Property of Homogeneous Boolean Functions
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ACISP
1999
Springer
13 years 9 months ago
On the Symmetric Property of Homogeneous Boolean Functions
We use combinatorial methods and permutation groups to classify homogeneous boolean functions. The property of symmetry of a boolean function limits the size of the function’s cl...
Chengxin Qu, Jennifer Seberry, Josef Pieprzyk
FSE
2004
Springer
92views Cryptology» more  FSE 2004»
13 years 10 months ago
Results on Rotation Symmetric Bent and Correlation Immune Boolean Functions
Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), i.e., the class of Boolean functions that are invariant under circular translation of indices,...
Pantelimon Stanica, Subhamoy Maitra, John A. Clark
INDOCRYPT
2005
Springer
13 years 10 months ago
On the Algebraic Immunity of Symmetric Boolean Functions
In this paper, we analyse the algebraic immunity of symmetric Boolean functions. We identify a set of lowest degree annihilators for symmetric functions and propose an efficient al...
An Braeken, Bart Preneel
DCC
2008
IEEE
14 years 4 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