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CCZ-equivalence of bent vectorial functions and related constructions

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dc.contributor.author Budaghyan, Lilya
dc.contributor.author Carlet, Claude
dc.date.accessioned 2011-03-09T10:19:12Z
dc.date.available 2011-03-09T10:19:12Z
dc.date.issued 2011-01-06
dc.identifier.citation Designs, Codes and Cryptography 1-19 en_US
dc.identifier.uri http://dx.doi.org/10.1007/s10623-010-9466-9
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 en
dc.rights Copyright The Author(s) 2010. This article is published with open access at Springerlink.com en_US
dc.rights.uri http://creativecommons.org/licenses/by-nc/2.5/ en_US
dc.subject Affine equivalence en
dc.subject Bent function en
dc.subject Nonlinearity en
dc.subject Boolean function en
dc.subject Almost perfect nonlinear en
dc.subject CCZ-equivalence en
dc.title CCZ-equivalence of bent vectorial functions and related constructions en_US
dc.type Peer reviewed en_US
dc.type Journal article en_US
dc.subject.nsi VDP::Mathematics and natural science: 400 en_US
dc.rightsHolder The Author(s) 2010 en_US
dc.type.version publishedVersion en_US


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Copyright The Author(s) 2010. This article is published with open access at Springerlink.com Except where otherwise noted, this item's license is described as Copyright The Author(s) 2010. This article is published with open access at Springerlink.com

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