Surjective multiband linear cellular automata and Smith's normal form
Keywords:
Smith normal form, multiband cellular automataAbstract
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.
Downloads
Downloads
Published
Issue
Section
License
The opinions expressed by the authors do not necessarily reflect the position of the publisher of the publication or of UCLA. The total or partial reproduction of the texts published here is authorized, as long as the complete source and the electronic address of this journal are cited.
The authors fully retain the rights to their works, giving the journal the right to be the first publication where the article is presented. The authors have the right to use their articles for any purpose as long as it is done for non-profit. Authors are recommended to disseminate their articles in the final version, after publication in this journal, in the electronic media of the institutions to which they are affiliated or personal digital media.
