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Paper 2013/332
A method for obtaining lower bounds on the higher order nonlinearity of Boolean function
Mikhail S. Lobanov
Abstract
Obtainment of exact value or high lower bound on the $r$-th order nonlinearity of Boolean function is a very complicated problem (especial if $r > 1$). In a number of papers lower bounds on the $r$-th order nonlinearity of Boolean function via its algebraic immunity were obtain for different $r$. This bounds is rather high for function with maximum near maximum possible algebraic immunity. In this paper we prove theorem, which try to obtain rather high lower bound on the $r$-th order nonlinearity for many functions with small algebraic immunity.
Metadata
- Available format(s)
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Boolean functionalgebraic immunityalgebraic degreenonlinearityhigher order nonlinearityannihilator
- Contact author(s)
- misha_msu @ mail ru
- History
- 2013-06-03: received
- Short URL
- https://ia.cr/2013/332
- License
-
CC BY