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CCZ-equivalence of bent vectorial functions and related constructions

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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.citation Designs, Codes and Cryptography 1-19 en_US
dc.identifier.uri http://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 eng
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 eng
dc.type Peer reviewed eng
dc.type Journal article eng
dc.subject.nsi VDP::Mathematics and natural science: 400 eng
dc.rights.holder Copyright The Author(s) 2010. This article is published with open access at Springerlink.com
dc.rights.holder The Author(s) 2010 eng
dc.type.version publishedVersion eng
bora.peerreviewed Peer reviewed eng
bibo.doi http://dx.doi.org/10.1007/s10623-010-9466-9 eng
dc.identifier.doi http://dx.doi.org/10.1007/s10623-010-9466-9


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