Çeşmelioğlu, Ayça and Meidl, Wilfried (2013) A construction of bent functions from plateaued functions. Designs, Codes and Cryptography (SI), 66 (1-3). pp. 231-242. ISSN 0925-1022 (Print) 1573-7586 (Online)
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Official URL: http://dx.doi.org/10.1007/s10623-012-9686-2
Abstract
In this presentation, a technique for constructing bent functions from plateaued functions is introduced and analysed. This generalizes earlier techniques for constructing bent from near-bent functions. Using this construction, we obtain a big variety of inequivalent bent functions, some weakly regular and some non-weakly regular. Classes of bent function with some additional properties that enable the construction of strongly regular graphs are constructed, and explicit expressions for bent functions with maximal degree are presented.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Bent functions; Plateaued functions; Fourier transform; Strongly regular graphs; Maximal degree |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Wilfried Meidl |
| Date Deposited: | 12 Feb 2013 11:34 |
| Last Modified: | 26 Apr 2022 09:03 |
| URI: | https://research.sabanciuniv.edu/id/eprint/21394 |
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A construction of bent functions from plateaued functions. (deposited 09 Nov 2012 22:15)
- A construction of bent functions from plateaued functions. (deposited 12 Feb 2013 11:34) [Currently Displayed]
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