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Paper 2009/042
On CCZ-equivalence and its use in secondary constructions of bent functions
Lilya Budaghyan and Claude Carlet
Abstract
We prove that, for bent vectorial functions, CCZ-equivalence coincides with EA-equivalence. However, we show that CCZ-equivalence can be used for constructing bent functions which are new up to CCZ-equivalence. Using this approach we construct classes of nonquadratic bent Boolean and bent vectorial functions.
Note: An improved version which will appear in Preproceedings of WCC 2009.
Metadata
- Available format(s)
- PDF PS
- Category
- Foundations
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Affine equivalenceAlmost perfect nonlinearBent functionBoolean functionCCZ-equivalenceNonlinearity
- Contact author(s)
- Lilya Budaghyan @ ii uib no
- History
- 2009-04-27: revised
- 2009-01-29: received
- See all versions
- Short URL
- https://ia.cr/2009/042
- License
-
CC BY