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FSE
1999
Springer

A New Characterization of Almost Bent Functions

14 years 3 months ago
A New Characterization of Almost Bent Functions
We study the functions from Fm 2 into Fm 2 for odd m which oppose an optimal resistance to linear cryptanalysis. These functions are called almost bent. It is known that almost bent functions are also almost perfect nonlinear, i.e. they also ensure an optimal resistance to differential cryptanalysis but the converse is not true. We here give a necessary and sufficient condition for an almost perfect nonlinear function to be almost bent. This notably enables us to exhibit some infinite families of power functions which are not almost bent.
Anne Canteaut, Pascale Charpin, Hans Dobbertin
Added 04 Aug 2010
Updated 04 Aug 2010
Type Conference
Year 1999
Where FSE
Authors Anne Canteaut, Pascale Charpin, Hans Dobbertin
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