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The functions constructed within these classes possess maximal algebraic degree for balanced functions, optimal algebraic immunity, high non-linearity and good resistance to algebraic and fast algebraic attacks.
As a result, several constructions of Boolean functions with high non-linearity, maximal algebraic degree and optimal algebraic immunity have been devised since then.
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A hybrid class of 1-resilient functions has also been proposed that also possesses high algebraic degree, optimal algebraic immunity, high non-linearity and good resistance to algebraic and fast algebraic attacks.
The nonlinear equations that arise can be of algebraic degree 60.
In designing cryptographic Boolean functions, it is challenging to achieve at the same time the desirable features of algebraic immunity, balancedness, nonlinearity, and algebraic degree for necessary resistance against algebraic attack, correlation attack, Berlekamp Massey attack, etc.
Correlation boxes are hypothetical systems usually designed to produce the maximal algebraic violation of a Bell inequality, beyond the quantum bound and without superluminal signalling.
The scale-free property is characterized by an algebraic degree distribution: where the degree variable k measures the number of links of node in the network, P ( d ≫ 1 ) ≈ d γ, and where γ is the algebraic scaling exponent.
With this method, we construct a family of differentially 4-uniform involutions with optimal algebraic degree and high nonlinearity.
After that, we rank users by their "maximal influence degree".
After that, we rank candidates by their "maximal influence degree".
The maximal vertex degree in the Twitter graph is more than one million.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com