Dynamics of finite linear cellular automata over \(\mathbb Z_N\)

DOI10.1216/RMJ-2012-42-2-695zbMath1417.37075OpenAlexW2047575024MaRDI QIDQ422061

J. Herrera, H. S. Yoon

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187173

zbMATH Keywords

linear cellular automataperiod lengthprime number modulus

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Orbit growth in dynamical systems (37C35) Automata sequences (11B85) Sequences (mod (m)) (11B50)

Cites Work

• Iterations of linear maps over finite fields
• Ducci-sequences and cyclotomic polynomials
• Algebraic properties of cellular automata
• Characteristic and minimal polynomials of linear cellular automata
• Ducci sequences and cyclotomic fields
• Ducci sequences over abelian groups
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