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Boolean functions whose restrictions are highly nonlinear

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2 Author(s)
Constanza Riera ; H⊘gskolen i Bergen, Nygårdsgt. 112 Bergen 5008, Norway ; Matthew G. Parker

We construct Boolean functions whose non-trivial restrictions are either highly nonlinear with respect to the Walsh-Hadamard or the negahadamard transform. We generalise these properties, identify group actions that preserve them, and obtain complementary sets from our functions.

Published in:

Information Theory Workshop (ITW), 2010 IEEE

Date of Conference:

Aug. 30 2010-Sept. 3 2010