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» On the Algebraic Immunity of Symmetric Boolean Functions
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DCC
2008
IEEE
14 years 7 months ago
Idempotents in the neighbourhood of Patterson-Wiedemann functions having Walsh spectra zeros
In this paper we study the neighbourhood of 15-variable Patterson-Wiedemann (PW) functions, i.e., the functions that differ by a small Hamming distance from the PW functions in te...
Sumanta Sarkar, Subhamoy Maitra
FSE
2004
Springer
92views Cryptology» more  FSE 2004»
14 years 24 days 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
TIT
2008
130views more  TIT 2008»
13 years 7 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
ACISP
1999
Springer
13 years 11 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
DAGSTUHL
2006
13 years 8 months ago
The complexity of Boolean functions from cryptographic viewpoint
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
Claude Carlet