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On group orders of some cellular automata

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In this note, we will characterize group orders of hybrid CA configured with rules 60 and 195 and that configured with rules 102 and 153.

Abstract

In this note, we will characterize group orders of hybrid CA configured with rules 60 and 195 and that configured with rules 102 and 153.

참고문헌 (9)

  1. P.P. Chaudhuri, "Additive celullar automata theory and applications, Vol.1" (1997), IEEE Computer Society Press
  2. A.K. Das, "Additive cellular automata: Theory and application as a built-in self-test structure", 박사, pp.1990
  3. A.K. Das, "Efficient characterization of cellular automata", Proc. IEE (Part E), 15(1), pp.81~87 (1990)
  4. B. Elspas, "The theory of autonomous linear sequential networks", IRE Trans. Circuit Theory, CT-6(1), pp.45~60 (1959)
  5. P.D. Hortensius, "Cellular automata circuits for built-in self test", IBM J. Res. & Dev., 34, pp.389~405 (1990)
  6. 김재겸, "On state transition diagrams of cellular automata", East Asian Mathematical Journal, 25(4), pp.517~525 (2009), 영남수학회
  7. S. Nandi, "Additive cellular automata: Theory and application for testable circuit design and data encryption", 박사, pp.1994
  8. S. Nandi, "Theory and applications of cellular automata in cryptography", IEEE Trans. Comput., 43(12), pp.1346~1357 (1994)
  9. W. Pries, "Group properties of cellular automata and VLSI applications", IEEE Trans. Comput., C-35(12), pp.1013~1024 (1986)

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