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» Cubic Monomial Bent Functions: A Subclass of M
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SIAMDM
2008
119views more  SIAMDM 2008»
13 years 10 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 11 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
14 years 3 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