Periodic Estimation of the 3-Arnold Transformation Modulo N

Yong Jiang Li; Jian Hua Ge; Zhi Lin Sun

doi:10.4028/www.scientific.net/AMR.186.515

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 186Periodic Estimation of the 3-Arnold Transformation...

Periodic Estimation of the 3-Arnold Transformation Modulo N

Abstract:

We discuss the basic definitions and existing conclusion about periodicity of the twin Fibonacci sequence in this paper. The upper bound of the twin Fibonacci sequence and the least period of 3-dimensional Arnold transformation mod N are respectively 6.269N2 and 3.134N2, which is similar to two existing references. Moreover, many important properties are gained, which provide new thought for study on the period of higher-dimensional Arnold transformation and the necessary mathematical reference of image coding and processing.

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Periodical:

Advanced Materials Research (Volume 186)

Pages:

515-519

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.186.515

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Online since:

January 2011

Authors:

Yong Jiang Li, Jian Hua Ge, Zhi Lin Sun

Keywords:

Arnold Transformation, Information Hiding (IH), Period, Twin Fibonacci Sequence

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