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.
Work leading to this paper was partially supported by the Foundation for the Advancement of Soft Computing, Mieres, Asturias, Spain, and by the CICYT Spain, under project TIN 2011-29827-C02-01.
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Moraga, C., Stanković, M., Stanković, R.S., Stojković, S. (2013). Hyper-bent Multiple-Valued Functions. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2013. EUROCAST 2013. Lecture Notes in Computer Science, vol 8112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53862-9_32
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DOI: https://doi.org/10.1007/978-3-642-53862-9_32
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