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» A new class of monomial bent functions
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SIAMDM
2008
119views more  SIAMDM 2008»
13 years 4 months ago
Cubic Monomial Bent Functions: A Subclass of M
Based on a computer search, Anne Canteaut conjectured that the exponent 22r +2r + 1 in F26r and the exponent (2r + 1)2 in F24r yield bent monomial functions. These conjectures are ...
Pascale Charpin, Gohar M. M. Kyureghyan
FFA
2008
93views more  FFA 2008»
13 years 4 months ago
A new class of monomial bent functions
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...
Anne Canteaut, Pascale Charpin, Gohar M. M. Kyureg...
EUROCRYPT
2001
Springer
13 years 9 months ago
Hyper-bent Functions
Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum distance to all the coordinate functions of affine mon...
Amr M. Youssef, Guang Gong
DAM
2006
88views more  DAM 2006»
13 years 4 months ago
Finding nonnormal bent functions
The question if there exist nonnormal bent functions was an open question for several years. A Boolean function in n variables is called normal if there exists an affine subspace ...
Anne Canteaut, Magnus Daum, Hans Dobbertin, Gregor...
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