Authors: | Moraga, Claudio Stanković, Milena Stanković, Radomir Stojković, Suzana |
Title: | Hyper-bent multiple-valued functions | Journal: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Volume: | 8112 LNCS | Issue: | PART 2 | First page: | 250 | Last page: | 257 | Conference: | 14th International Conference on Computer Aided Systems Theory, EUROCAST 2013; Las Palmas de Gran Canaria; Spain; 10 February 2013 through 15 February 2013 | Issue Date: | 1-Dec-2013 | Rank: | M33 | ISBN: | 978-3-642-53861-2 | ISSN: | 0302-9743 | DOI: | 10.1007/978-3-642-53862-9_32 | 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. |
Keywords: | bent-functions | hyper-bent functions | Multiple-valued functions | Vilenkin-Chrestenson transform | Publisher: | Springer Link CICYT Spain, Project TIN 2011-29827-C02-01 |
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