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Dembowski-Ostrom polynomials from reversed Dickson polynomials.
- Source :
- Journal of Systems Science & Complexity; Feb2016, Vol. 29 Issue 1, p259-271, 13p
- Publication Year :
- 2016
-
Abstract
- This paper gives a full classification of Dembowski-Ostrom polynomials derived from the compositions of reversed Dickson polynomials and monomials over finite fields of characteristic 2. The authors also classify almost perfect nonlinear functions among all such Dembowski-Ostrom polynomials based on a general result describing when the composition of an arbitrary linearized polynomial and a monomial of the form $${x^{1 + {2^\alpha }}}$$ is almost perfect nonlinear. It turns out that almost perfect nonlinear functions derived from reversed Dickson polynomials are all extended affine equivalent to the well-known Gold functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10096124
- Volume :
- 29
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Systems Science & Complexity
- Publication Type :
- Academic Journal
- Accession number :
- 112860166
- Full Text :
- https://doi.org/10.1007/s11424-015-4110-4