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Erschienen in:
Boolean Functions with Maximum Algebraic Immunity Based on Properties of Punctured Reed–Muller Codes Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Results on Characterizations of Plateaued Functions in Arbitrary Characteristic

verfasst von : Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak

Erschienen in: Cryptography and Information Security in the Balkans

Verlag: Springer International Publishing

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Abstract

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 moments of their Walsh transforms. Furthermore, we give a new proof of the characterization of vectorial bent functions. Finally, we present the characterizations of vectorial s-plateaued functions in terms of moments of their Walsh transforms and the zeros of their second-order derivatives.

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Vorheriges Kapitel Boolean Functions with Maximum Algebraic Immunity Based on Properties of Punctured Reed–Muller Codes
Nächstes Kapitel Cryptographically Strong S-Boxes Generated by Modified Immune Algorithm
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Metadaten
Titel
Results on Characterizations of Plateaued Functions in Arbitrary Characteristic
verfasst von
Sihem Mesnager
Ferruh Özbudak
Ahmet Sınak
Copyright-Jahr
2016
Buch
Cryptography and Information Security in the Balkans

Print ISBN: 978-3-319-29171-0

Electronic ISBN: 978-3-319-29172-7

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-29172-7_2

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