Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2019, Issue 12, Pages 29–31
DOI: https://doi.org/10.17223/2226308X/12/8
(Mi pdma423)
 

Theoretical Foundations of Applied Discrete Mathematics

Exact formula for exponent of mixing digraph of feedback shift register

V. M. Fomichevabc, Ya. E. Avezovad

a National Engineering Physics Institute "MEPhI", Moscow
b Financial University under the Government of the Russian Federation, Moscow
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
d АО «Позитив Текнолоджиз»
References:
Abstract: Let $g$ be a binary $n$-stage nonlinear shift register with feedback $f(x_0,\ldots,x_{n-1})$ and $\Gamma(g)$ denotes a mixing digraph of transformation $g$. By $d_m$ we denote the greatest number of essential variable of $f$. For primitive digraph $\Gamma(g)$, we obtain the exact formulas for exponent of $\Gamma(g)$ for $d_m\in\{n-1,n-2\}$ and of local exponents $\gamma_{u,v}$ for $0\leq u,v<n$.
Keywords: local primitivity of digraph, mixing digraph, primitive digraph, shift register, digraph exponent.
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: V. M. Fomichev, Ya. E. Avezova, “Exact formula for exponent of mixing digraph of feedback shift register”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 29–31
Citation in format AMSBIB
\Bibitem{FomAve19}
\by V.~M.~Fomichev, Ya.~E.~Avezova
\paper Exact formula for exponent of mixing digraph of feedback shift register
\jour Prikl. Diskr. Mat. Suppl.
\yr 2019
\issue 12
\pages 29--31
\mathnet{http://mi.mathnet.ru/pdma423}
\crossref{https://doi.org/10.17223/2226308X/12/8}
\elib{https://elibrary.ru/item.asp?id=41153852}
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