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This article is cited in 4 scientific papers (total in 4 papers)
Periodic properties of a simplest 2-linear shift register
O. A. Kozlitin
Abstract:
The state transition graph of a simplest self-controlled 2-linear shift register over Galois ring $R=GR(2^{rn},2^n)$ is studied. An upper bound for the length of a cycle in this graph is obtained. In the case $R=\mathbf Z_{2^n}$, states belonging to cycles of maximal length are described and the number of these states is evaluated.
Received: 17.11.2006
Citation:
O. A. Kozlitin, “Periodic properties of a simplest 2-linear shift register”, Diskr. Mat., 19:3 (2007), 51–78; Discrete Math. Appl., 17:2 (2007), 135–162
Linking options:
https://www.mathnet.ru/eng/dm965https://doi.org/10.4213/dm965 https://www.mathnet.ru/eng/dm/v19/i3/p51
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Abstract page: | 577 | Full-text PDF : | 268 | References: | 71 | First page: | 4 |
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