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

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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.
Publisher
KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM
Issue Date
2016-05
Language
English
Article Type
Article
Citation

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, v.34, no.3-4, pp.239 - 247

ISSN
1598-5857
DOI
10.14317/jami.2016.239
URI
http://hdl.handle.net/10203/261680
Appears in Collection
RIMS Journal Papers
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