[Resource Topic] 2008/313: A new almost perfect nonlinear function which is not quadratic

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Title:
A new almost perfect nonlinear function which is not quadratic

Authors: Yves Edel, Alexander Pott

Abstract:

We show how to change one coordinate function of an almost perfect nonlinear (APN) function in order to obtain new examples. It turns out that this is a very powerful method to construct new APN functions. In particular, we show that the approach can be used to construct ``non-quadratic’’ APN functions. This new example is in remarkable contrast to all recently constructed functions which have all been quadratic.

ePrint: https://eprint.iacr.org/2008/313

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