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Avtomatika i Telemekhanika, 1981, Issue 11, Pages 131–138 (Mi at6051)  

Automata

On design by linear cellular automata

S. L. Blyumin

Lipetsk
Abstract: Algebraical criteria are established for the ability of linear cellular automata to design, cerase, reproduce, restore, and multiply finite distributions of cell (configuration) cells in a cellular space. A local state equation for a cellular automaton is replaced by an associated spatial global equation by using an enumeration of the cellular space.

Received: 02.10.1980
Bibliographic databases:
Document Type: Article
UDC: 62-50:53.072:51
Language: Russian
Citation: S. L. Blyumin, “On design by linear cellular automata”, Avtomat. i Telemekh., 1981, no. 11, 131–138; Autom. Remote Control, 42:11 (1981), 1538–1544
Citation in format AMSBIB
\Bibitem{Bly81}
\by S.~L.~Blyumin
\paper On design by linear cellular automata
\jour Avtomat. i Telemekh.
\yr 1981
\issue 11
\pages 131--138
\mathnet{http://mi.mathnet.ru/at6051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=705156}
\zmath{https://zbmath.org/?q=an:0483.68053}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 42
\issue 11
\pages 1538--1544
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  • https://www.mathnet.ru/eng/at/y1981/i11/p131
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    Avtomatika i Telemekhanika
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