A DIGITAL SCRAMBLING METHOD BASED ON BALANCING NUMBERS

P. K. RAY1, B. K. PATEL2, D. P. CHOWDHURY3, S. KUJUR4

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Abstract

In this article, a new approach to the study of image scrambling based on balancing numbers, balancing transformation is presented. The properties of the proposed transformation and its periodicity are studied in details. In order to reduce the periods of the balancing transformation, we separate the consecutive pixels as far as possible from each other in that domain of the digital images.

Keywords

balancing numbers, Fibonacci transformation, Lucas transformation, balancing transformation, periodicity.