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IPL
2010
82views more  IPL 2010»
13 years 10 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
COMBINATORICS
1998
61views more  COMBINATORICS 1998»
13 years 11 months ago
A Macdonald Vertex Operator and Standard Tableaux Statistics
On donnera une formule pour l’op´erateur Hqt 2 avec la propri´et´e que Hqt 2 H(2a1b)[X; q, t] = H(2a+11b)[X; q, t] avec les fonctions sym´etriques Hµ[X; q, t] = λ Kλµ(q,...
Mike Zabrocki
VLSID
2002
IEEE
81views VLSI» more  VLSID 2002»
14 years 4 months ago
A New Synthesis of Symmetric Functions
A new approach to synthesizing totally symmetric Boolean functions is presented. First, a novel cellular array is introduced for synthesizing unate symmetric functions. Using this...
Hafizur Rahaman, Debesh K. Das, Bhargab B. Bhattac...
INDOCRYPT
2005
Springer
14 years 5 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