In this paper, we propose a mathematical model for one-dimensional finite linear cellular automata and show connections between our model and the classical one. We then demonstrate, through some examples, that our model is a useful tool for analyzing one-dimensional finite linear cellular automata. We also extend this model to the D-dimensional case and give an algebraic characterization for it.
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Marcel CRASMARU, "A Characterization of Some Linear Cellular Automata" in IEICE TRANSACTIONS on Information,
vol. E84-D, no. 1, pp. 15-20, January 2001, doi: .
Abstract: In this paper, we propose a mathematical model for one-dimensional finite linear cellular automata and show connections between our model and the classical one. We then demonstrate, through some examples, that our model is a useful tool for analyzing one-dimensional finite linear cellular automata. We also extend this model to the D-dimensional case and give an algebraic characterization for it.
URL: https://global.ieice.org/en_transactions/information/10.1587/e84-d_1_15/_p
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@ARTICLE{e84-d_1_15,
author={Marcel CRASMARU, },
journal={IEICE TRANSACTIONS on Information},
title={A Characterization of Some Linear Cellular Automata},
year={2001},
volume={E84-D},
number={1},
pages={15-20},
abstract={In this paper, we propose a mathematical model for one-dimensional finite linear cellular automata and show connections between our model and the classical one. We then demonstrate, through some examples, that our model is a useful tool for analyzing one-dimensional finite linear cellular automata. We also extend this model to the D-dimensional case and give an algebraic characterization for it.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - A Characterization of Some Linear Cellular Automata
T2 - IEICE TRANSACTIONS on Information
SP - 15
EP - 20
AU - Marcel CRASMARU
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E84-D
IS - 1
JA - IEICE TRANSACTIONS on Information
Y1 - January 2001
AB - In this paper, we propose a mathematical model for one-dimensional finite linear cellular automata and show connections between our model and the classical one. We then demonstrate, through some examples, that our model is a useful tool for analyzing one-dimensional finite linear cellular automata. We also extend this model to the D-dimensional case and give an algebraic characterization for it.
ER -