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Published in:
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2014 | OriginalPaper | Chapter

4. Bent Functions

Author : Lilya Budaghyan

Published in: Construction and Analysis of Cryptographic Functions

Publisher: Springer International Publishing

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Abstract

We construct new classes of nonquadratic bent Boolean and bent vectorial functions by applying CCZ-equivalence to a non-bent quadratic vectorial function F which has some bent components. We also solve an open problem proposed by Carlet, Charpin and Zinoviev in 1998 on characterization of APN and AB functions via Boolean functions, and a longstanding problem introduced by Dillon in 1974 about relation between two classes of bent functions.
Further we prove that many of the known classes of generalized bent functions do not intersect with the completed class of Maiorana-McFarland bent functions.

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previous chapter Equivalence Relations of Functions
next chapter New Classes of APN and AB Polynomials
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Metadata
Title
Bent Functions
Author
Lilya Budaghyan
Copyright Year
2014
Book
Construction and Analysis of Cryptographic Functions

Print ISBN: 978-3-319-12990-7

Electronic ISBN: 978-3-319-12991-4

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-12991-4_4

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