Cellular automata and finite fields

DOI10.1016/S0167-2789(05)80001-6zbMath0891.11061OpenAlexW4240050778MaRDI QIDQ1340994

Franco Vivaldi

Publication date: 21 December 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80001-6

zbMATH Keywords

finite fieldsdynamics of polynomialsone-dimensional periodic cellular automata

Mathematics Subject Classification ID

Topological dynamics (37B99) Finite fields and commutative rings (number-theoretic aspects) (11T99) Cellular automata (computational aspects) (68Q80) Polynomials over finite fields (11T06)

Related Items (1)

Additive cellular automata and global injectivity

Cites Work

• Unnamed Item
• Algebraic properties of cellular automata
• Cylindrical cellular automata
• Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. I
• Formal complex multiplication in local fields
• Statistical mechanics of cellular automata
• The Galois Theory of Iterates and Composites of Polynomials
• On some problems in the theory of finite fields
• Dynamics over irreducible polynomials
• Galois theory of periodic orbits of rational maps
• The Galois Theory of Periodic Points of Polynomial Maps
• Number fields
• Linear cellular automata and recurring sequences in finite fields

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