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http://dx.doi.org/10.14317/jami.2016.239

ANALYSIS OF COMPLEMENTED GROUP CA DERIVED FROM 90/150 GROUP CA  

KWON, MIN-JEONG (Department of Mathematics and Computer science, Korea Science Academy of Kaist)
CHO, SUNG-JIN (Department of Applied Mathematics, Pukyong National University)
KIM, HAN-DOO (Institute of Basic Science, Department of Applied Mathematics, Inje University)
CHOI, UN-SOOK (Department of Information and Communications Engineering, Tongmyong University)
KONG, GIL-TAK (Department of Applied Mathematics, Pukyong National University)
Publication Information
Journal of applied mathematics & informatics / v.34, no.3_4, 2016 , pp. 239-247 More about this Journal
Abstract
In recent years, CA has been applied to image security due to its simple and regular structure, local interaction and random-like behavior. Since the initial state is regenerated after some iterations in the group CA, the receiver is able to decrypt by the same CA. Pries et al. showed that the all lengths of the cycles in the complemented group CA C with rules 195, 153, and 51 are equal to the order of C. Nandi et al. reported the encryption technique using C. These results can be made efficient use in cryptosystem by expanding the Nandi's key space. In this paper, we analyze the order of the complemented group CA derived from 90=150 group CA and show that all the lengths of the cycles in the complemented CA are equal to the order of the complemented CA.
Keywords
Cellular Automata; complement vector; order; complemented group CA; length of cycle;
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Times Cited By KSCI : 1  (Citation Analysis)
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