Authors: Stanković, Radomir 
Stanković, Milena
Astola, Jaakko
Moraga, Claudio
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Towards the Structure of a Class of Permutation Matrices Associated with Bent Functions
First page: 83
Last page: 105
Related Publication(s): Advanced Boolean Techniques
Issue Date: 2019
ISBN: 978-3-030-20322-1
DOI: 10.1007/978-3-030-20323-8_4
Bent functions, that are useful in cryptographic applications, can be characterized in different ways. A recently formulated characterization is in terms of the Gibbs dyadic derivative. This characterization can be interpreted through permutation matrices associated with bent functions by this differential operator. We point out that these permutation matrices express some characteristic block structure and discuss a possible determination of it as a set of rules that should be satisfied by the corresponding submatrices. We believe that a further study of this structure can bring interesting results providing a deeper insight into features of bent functions.
Keywords: Bent functions | Walsh functions | Dyadic derivatives | Permutation matrices
Publisher: Springer Link

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