dc.contributor.author | Budaghyan, Lilya | eng |
dc.contributor.author | Carlet, Claude | eng |
dc.date.accessioned | 2011-03-09T10:19:12Z | |
dc.date.available | 2011-03-09T10:19:12Z | |
dc.date.issued | 2011-01-06 | eng |
dc.identifier.uri | https://hdl.handle.net/1956/4557 | |
dc.description.abstract | We observe that the CCZ-equivalence of bent vectorial functions over F2nFn2 (n even) reduces to their EA-equivalence. Then we show that in spite of this fact, CCZ-equivalence can be used for constructing bent functions which are new up to EA-equivalence and therefore to CCZ-equivalence: applying CCZ-equivalence to a non-bent vectorial function F which has some bent components, we get a function F′ which also has some bent components and whose bent components are CCZ-inequivalent to the components of the original function F. Using this approach we construct classes of nonquadratic bent Boolean and bent vectorial functions. | en_US |
dc.publisher | Springer | en_US |
dc.rights | Attribution-NonCommercial CC BY-NC | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/2.5/ | eng |
dc.subject | Affine equivalence | eng |
dc.subject | Bent function | eng |
dc.subject | Nonlinearity | eng |
dc.subject | Boolean function | eng |
dc.subject | Almost perfect nonlinear | eng |
dc.subject | CCZ-equivalence | eng |
dc.title | CCZ-equivalence of bent vectorial functions and related constructions | en_US |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | The Author(s) 2010 | en_US |
dc.rights.holder | Copyright The Author(s) 2010. This article is published with open access at Springerlink.com | en_US |
dc.identifier.doi | https://doi.org/10.1007/s10623-010-9466-9 | |
dc.identifier.cristin | 844598 | |
dc.source.journal | Designs, Codes and Cryptography | |
dc.subject.nsi | VDP::Mathematics and natural science: 400 | en_US |