Show simple item record

dc.contributor.authorBudaghyan, Lilyaeng
dc.contributor.authorCarlet, Claudeeng
dc.date.accessioned2011-03-09T10:19:12Z
dc.date.available2011-03-09T10:19:12Z
dc.date.issued2011-01-06eng
dc.identifier.citationDesigns, Codes and Cryptography 1-19en_US
dc.identifier.urihttp://hdl.handle.net/1956/4557
dc.description.abstractWe 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.publisherSpringereng
dc.rightsAttribution-NonCommercial CC BY-NCeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc/2.5/eng
dc.subjectAffine equivalenceeng
dc.subjectBent functioneng
dc.subjectNonlinearityeng
dc.subjectBoolean functioneng
dc.subjectAlmost perfect nonlineareng
dc.subjectCCZ-equivalenceeng
dc.titleCCZ-equivalence of bent vectorial functions and related constructionseng
dc.typePeer reviewedeng
dc.typeJournal articleeng
dc.subject.nsiVDP::Mathematics and natural science: 400eng
dc.rights.holderCopyright The Author(s) 2010. This article is published with open access at Springerlink.com
dc.rights.holderThe Author(s) 2010eng
dc.type.versionpublishedVersioneng
bora.peerreviewedPeer reviewedeng
bibo.doihttp://dx.doi.org/10.1007/s10623-010-9466-9eng
dc.identifier.doihttp://dx.doi.org/10.1007/s10623-010-9466-9


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial CC BY-NC
Except where otherwise noted, this item's license is described as Attribution-NonCommercial CC BY-NC