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arXiv · 1204.3999

Cellular Automata Rules and Linear Numbers

Birendra Kumar Nayak·Sudhakar Sahoo·Sagarika Biswal
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Abstract

In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers associated with linear CA rules are defined as linear numbers and the properties of these linear numbers are studied.

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Birendra Kumar Nayak, Sudhakar Sahoo, Sagarika Biswal. 2012-09-02. Cellular Automata Rules and Linear Numbers. https://arxiv.org/abs/1204.3999

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