• East Asian mathematical journal
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• v.27 no.1
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• pp.67-73
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• 2011

We investigate some conditions for hybrid cellular automata to be group cellular automata.

• East Asian mathematical journal
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• v.25 no.4
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• pp.517-525
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• 2009

We discuss group orders and lengths of cycles of state transition diagrams of cellular automata.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.447-454
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• 2008

In this short note, we will point out and modify some logical errors in literatures about the theory of cellular automata.

• East Asian mathematical journal
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• v.31 no.1
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• pp.19-25
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• 2015

We investigate periodicities of some additive cellular automata with null boundary condition.

• Journal of Korea Multimedia Society
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• v.8 no.5
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• pp.670-678
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• 2005

A Cellular Automaton(CA) is a dynamical system in which space and time are discrete, the state of each cell is unite and is updated by local interaction. Since the characteristics of CA is diffusion and local interaction, CA is used by crypto-systems and VLSI structure. In this study, we proposed a hash function based on the concept of 2-dimensional cellular automata and analyzed the proposed hash function.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.4
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• pp.553-563
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• 2016

We characterize periodicities of some characteristic matrices of cellular automata congured with rule 60 and intermediate boundary condition.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.4
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• pp.545-551
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• 2015

We investigate periodicities of characteristic matrices of cellular automata configured with rule 60 and intermediate boundary condition.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.543-551
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• 2014

We investigate periodicities of some hybrid cellular automata configured with rule 102 and 60 and null boundary condition.

• Journal of the Chungcheong Mathematical Society
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• v.31 no.4
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• pp.511-518
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• 2018

We investigate periodicities of some hybrid cellular automata configured with rule 60 and 102 and periodic boundary condition.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.4
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• pp.785-791
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• 2010

In this note, we give a characterization of cycle lengths of uniform cellular automata configured with rules 60 or 102.