Geodesic
Exact formula for exponent of mixing digraph of feedback shift register
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 29-31

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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 $0\leq u,v$.
Keywords: local primitivity of digraph, mixing digraph, primitive digraph, shift register, digraph exponent. 
@article{PDMA_2019_12_a7,
     author = {V. M. Fomichev and Ya. E. Avezova},
     title = {Exact formula for exponent of mixing digraph of feedback shift register},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {29--31},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a7/}
}
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V. M. Fomichev; Ya. E. Avezova. Exact formula for exponent of mixing digraph of feedback shift register. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 29-31. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a7/