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CCZ-equivalence of bent vectorial functions and related constructions.
- Source :
- Designs, Codes & Cryptography; Apr2011, Vol. 59 Issue 1-3, p69-87, 19p
- Publication Year :
- 2011
-
Abstract
- We observe that the CCZ-equivalence of bent vectorial functions over $${{\bf F}_2^n}$$ ( 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 59
- Issue :
- 1-3
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 59317292
- Full Text :
- https://doi.org/10.1007/s10623-010-9466-9