Results on characterization of Plateaued Functions in Arbitrary Characteristics

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2015-09-04

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Mesnager, Sihem
Özbudak, Ferruh
Sınak, Ahmet

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Results on characterizations of plateaued functions in arbitrary characteristic Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet (2016-01-01) Bent and plateaued functions play a significant role in cryptography since they can have various desirable cryptographic properties. In this work, we first provide the characterizations of plateaued functions in terms of the moments of their Walsh transforms. Next, we generalize the characterizations of Boolean bent and plateaued functions in terms of their second-order derivatives to arbitrary characteristic. Moreover, we present a new characterization of plateaued functions in terms of fourth power moment...
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Citation Formats

S. Mesnager, F. Özbudak, and A. Sınak, “Results on characterization of Plateaued Functions in Arbitrary Characteristics,” 2015, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/76755.