[Resource Topic] 2009/502: On second order nonlinearities of cubic monomial Boolean functions

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Title:
On second order nonlinearities of cubic monomial Boolean functions

Authors: Ruchi Gode, Sugata Gangopadhyay

Abstract:

We study cubic monomial Boolean functions of the form Tr_1^n(\mu x^{2^i+2^j+1}) where \mu \in \mathbb{F}_{2^n}. We prove that the functions of this form do not have any affine derivative. A lower bound on the second order nonlinearities of these functions is also derived.

ePrint: https://eprint.iacr.org/2009/502

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