Results 91 to 100 of about 1,481 (204)

Constructing Vectorial Boolean Functions with High Algebraic Immunity Based on Group Decomposition [PDF]

, 2012
In this paper, we construct a class of vectorial Boolean functions over $\mathbb{F}_{2^{n}}$ with high algebraic immunity based on the decomposition of the multiplicative group of $\mathbb{F}_{2^n}$. By viewing $\mathbb{F}_{2^{n}}$ as $G_1G_2\bigcup \{0\}
Yu Lou, Huiting Han, Chunming Tang, Maozhi Xu   +3 more
core  

results on the immunity of boolean functions against probabilistic algebraic attacks

, 2011
In this paper, we study the immunity of Boolean functions against probabilistic algebraic attacks. We first show that there are functions, using as filters in a linear feedback shift register based nonlinear filter generator, such that probabilistic ...
Pei Dingyi, Lin Dongdai, Liu Meicheng
core  

1-Resilient Boolean Function with Optimal Algebraic Immunity [PDF]

, 2011
In this paper, We propose a class of 2k-variable Boolean functions, which have optimal algebraic degree, high nonlinearity, and are 1-resilient. These functions have optimal algebraic immunity when k > 2 and u = -2^l; 0 = 2 and u = 2^l; 0 = 2, otherwise ...
Baofeng Wu, Qingfang Jin, Zhuojun Liu
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Modelling SARS-CoV-2 epidemics via compartmental and cellular automaton SEIRS model with temporal immunity and vaccination

Condensed Matter Physics
We consider the SEIRS epidemiology model with such features of the COVID-19 outbreak as: abundance of unidentified infected individuals, limited time of immunity and a possibility of vaccination.
J. Ilnytskyi, T. Patsahan
doaj   +1 more source

A method of construction of balanced functions with optimum algebraic immunity [PDF]

, 2007
Because of the recent algebraic attacks, a high algebraic immunity is now an absolutely necessary (but not sufficient) property for Boolean functions used in stream ciphers.
C. Carlet
core  

Numerical investigation of fractional order SEIR models with newborn immunization using Vieta–Fibonacci wavelets

Partial Differential Equations in Applied Mathematics
In this article, we investigate the dynamics of a fractional-order SEIR epidemic model with special emphasis on the vaccination of newborns. By incorporating vaccination directly into the SEIR framework, newborns bypass the susceptible stage and enter ...
Naied A. Nayied, Firdous A. Shah, Mukhtar A. Khanday, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

A Conjecture on Binary String and Its Applications on Constructing Boolean Functions of Optimal Algebraic Immunity [PDF]

, 2009
In this paper, we propose a combinatoric conjecture on binary string, on the premise that our conjecture is correct we mainly obtain two classes of functions which are both algebraic immunity optimal: the first class of functions are also bent, moreover,
Ziran Tu, Yingpu Deng
core  

Phytotea “ATINE” has beneficial effects on some neural, endocrine, immune, metabolic and biophysics variables in patients with maladaptation

Journal of Education, Health and Sport
Background and aim. Earlier we shown that phytotea “ATINE” enhances the immunomodulatory effect of adaptogenic factors of the Truskavets’ Spa in patients after radical treatment of oncological pathology.
Igor Bombushkar, Anatoliy Gozhenko, Ivan Savytskyi, Dariya Popovych, Nataliya Badiuk, Anatoliy Anchev, Viktor Duzhar, Igor Popovych   +7 more
doaj   +1 more source

Balanced Boolean Functions with (Almost) Optimal Algebraic Immunity and Very High Nonlinearity [PDF]

, 2010
In this paper, we present a class of $2k$-variable balanced Boolean functions and a class of $2k$-variable $1$-resilient Boolean functions for an integer $k\ge 2$, which both have the maximal algebraic degree and very high nonlinearity.
Lei Hu, Deng Tang, Xiangyong Zeng, Xiaohu Tang   +3 more
core  

Correlation-immune functions with optimal algebraic immunity

Prikladnaya diskretnaya matematika. Prilozhenie, 2022
Irina S. Khilchuk, Daria A. Zyubina, Natalia N. Tokareva   +2 more
openaire   +1 more source