Authors: Stanković, Radomir 
Stanković, Milena
Astola, Jaakko
Moraga, Claudio
Title: Towards the Gibbs Characterization of a Class of Quaternary Bent Functions
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 73
Last page: 78
Conference: 47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017; Novi Sad; Serbia; 22 May 2017 through 24 May 2017
Issue Date: 30-Jun-2017
ISBN: 978-1-509-05495-4
ISSN: 0195-623X
DOI: 10.1109/ISMVL.2017.39
Bent functions generalized to the alphabet Zq, the ring of integers modulo q, are interesting not just in the realm of multiple-valued functions, but have some applications in the binary environment. The case q = 4, i.e., quaternary bent functions, are of a particular interest due to a simple relationship to binary functions. We consider the possibilities for characterization of quaternary bent functions in terms of the Gibbs derivatives defined with respect to the Reed-Muller-Fourier (RMF) transform for q-valued functions. It is shown that quaternary bent functions can be split into classes of functions sharing the same values for their Gibbs derivatives.
Keywords: Bent functions | Gibbs drerivatives | multiple-valued logic | quaternary functions
Publisher: IEEE

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