Surjective multiband linear cellular automata and Smith's normal form
In this paper the Smith normal form of certain matrices is used to provide another char acterization for the surjectivity of one-dimensional linear cellular automata with multiple local rules over the ring ZN of integers modulo N ≥ 2.. We reached this goal through an adaptation of a well known resul...
| Format: | Article |
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| Language: | English |
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Universidad Centroccidental Lisandro Alvarado
2009-07-01
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| Series: | Publicaciones en Ciencias y Tecnología |
| Subjects: | |
| Online Access: | https://revistas.uclave.org/index.php/pcyt/article/view/1083 |
| Summary: | In this paper the Smith normal form of certain matrices is used to provide another char acterization for the surjectivity of one-dimensional linear cellular automata with multiple local rules over the ring ZN of integers modulo N ≥ 2.. We reached this goal through an adaptation of a well known result of G. A. Hedlund which characterize the surjectivity of general one-dimensional cellular automata. |
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| ISSN: | 2477-9660 |