CCZ-equivalence of bent vectorial functions and related constructions
Peer reviewed, Journal article
MetadataShow full item record
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.
CopyrightThe Author(s) 2010
Copyright The Author(s) 2010. This article is published with open access at Springerlink.com