Title
Hyper-Bent Multiple-Valued Functions
Abstract
Hyper-bent functions constitute a subset of bent functions and are harder to approximate than bent functions, making them particularly attractive for cryptographic applications. In the multiple-valued world, up to now, characterization and generation of hyper-bent functions represent an interesting challenging mathematical problem. We show that multiple-valued hyper-bent functions constitute a reduced subset of the multiple-valued bent functions and give a simple characterization lemma. Finally we introduce a new concept, that of strict hyper-bent functions, and study some of the properties of these functions. The only mathematical requirements of the paper are college algebra and a basic knowledge of Galois fields.
Year
DOI
Venue
2013
10.1007/978-3-642-53862-9_32
COMPUTER AIDED SYSTEMS THEORY, PT II
Keywords
Field
DocType
Multiple-valued functions, bent-functions, hyper-bent functions, Vilenkin-Chrestenson transform
Finite field,Algebra,Computer science,Cryptography,Bent molecular geometry,Theoretical computer science,Lemma (mathematics),Mathematical problem
Conference
Volume
ISSN
Citations 
8112
0302-9743
1
PageRank 
References 
Authors
0.43
7
4
Name
Order
Citations
PageRank
Claudio Moraga1612100.27
Milena Stankovic2299.22
Radomir S. Stankovic318847.07
Suzana Stojković485.62