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http://dx.doi.org/10.25673/60194Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Polujan, Alexandr | - |
| dc.contributor.author | Pott, Alexander | - |
| dc.date.accessioned | 2022-01-26T10:13:12Z | - |
| dc.date.available | 2022-01-26T10:13:12Z | - |
| dc.date.issued | 2020 | - |
| dc.date.submitted | 2020 | - |
| dc.identifier.uri | https://opendata.uni-halle.de//handle/1981185920/62145 | - |
| dc.identifier.uri | http://dx.doi.org/10.25673/60194 | - |
| dc.description.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. | eng |
| dc.description.sponsorship | Projekt DEAL 2020 | - |
| dc.language.iso | eng | - |
| dc.relation.ispartof | http://link.springer.com/journal/10623 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | Cubic bent funktions | eng |
| dc.subject | Homogeneous functions | eng |
| dc.subject | Affine derivatives | eng |
| dc.subject | Equivalence of Boolean functions | eng |
| dc.subject | Completed Maiorana-McFarland class | eng |
| dc.subject.ddc | 510.72 | - |
| dc.title | Cubic bent functions outside the completed Maiorana-McFarland class | eng |
| dc.type | Article | - |
| dc.identifier.urn | urn:nbn:de:gbv:ma9:1-1981185920-621453 | - |
| local.versionType | publishedVersion | - |
| local.bibliographicCitation.journaltitle | Designs, codes and cryptography | - |
| local.bibliographicCitation.volume | 88 | - |
| local.bibliographicCitation.issue | 9 | - |
| local.bibliographicCitation.pagestart | 1701 | - |
| local.bibliographicCitation.pageend | 1722 | - |
| local.bibliographicCitation.publishername | Springer Science + Business Media B.V | - |
| local.bibliographicCitation.publisherplace | Dordrecht [u.a.] | - |
| local.bibliographicCitation.doi | 10.1007/s10623-019-00712-y | - |
| local.openaccess | true | - |
| dc.identifier.ppn | 1742696384 | - |
| local.bibliographicCitation.year | 2020 | - |
| cbs.sru.importDate | 2022-01-26T10:03:40Z | - |
| local.bibliographicCitation | Enthalten in Designs, codes and cryptography - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991 | - |
| local.accessrights.dnb | free | - |
| 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 |