Please use this identifier to cite or link to this item:
http://dx.doi.org/10.25673/60194| Title: | Cubic bent functions outside the completed Maiorana-McFarland class |
| Author(s): | Polujan, Alexandr Pott, Alexander |
| Issue Date: | 2020 |
| Type: | Article |
| Language: | English |
| URN: | urn:nbn:de:gbv:ma9:1-1981185920-621453 |
| Subjects: | Cubic bent funktions Homogeneous functions Affine derivatives Equivalence of Boolean functions Completed Maiorana-McFarland class |
| Abstract: | In this paper we prove that in opposite to the cases of 6 and 8 variables, the Maiorana- McFarland construction does not describe the whole class of cubic bent functions in n variables for all n ≥ 10. Moreover, we show that for almost all values of n, these functions can simultaneously be homogeneous and have no affine derivatives. |
| URI: | https://opendata.uni-halle.de//handle/1981185920/62145 http://dx.doi.org/10.25673/60194 |
| Open Access: |  Open access publication |
| License: |  (CC BY 4.0) Creative Commons Attribution 4.0 |
| Sponsor/Funder: | Projekt DEAL 2020 |
| Journal Title: | Designs, codes and cryptography |
| Publisher: | Springer Science + Business Media B.V |
| Publisher Place: | Dordrecht [u.a.] |
| Volume: | 88 |
| Issue: | 9 |
| Original Publication: | 10.1007/s10623-019-00712-y |
| Page Start: | 1701 |
| Page End: | 1722 |
| Appears in Collections: | Fakultät für Mathematik (OA) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Polujan et al._Cubic bent_2020.pdf | Zweitveröffentlichung | 386.33 kB | Adobe PDF |  View/Open |