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We know from Zeckendorf’s theorem that every positive integer n has unique representation of the form n =Pl k=1 akF(k), where ak ∈ {0,1} and F(k) is a Fibonacci number such that the string a1a2a3 ... does not contain any consecutive 1’s. In this paper we consider second order variant Fibonacci universal code from Gopala-Hemachandra sequence. Thereby, we describe the uses of this code in cryptography...
In this paper, the stability conditions and chaotic behaviors of new different fractional orders of reverse butterfly-shaped dynamical system are analytically and numerically investigated. Designing an appropriate feedback controller, the fractional order chaotic system is synchronized. Applying the synchronized fractional order systems in digital cryptography, a well secured key system is obtained...
Most steganographic techniques use either LSB or DCT coefficients to secretly embed data inside images. The first technique, has the drawback of being able to encrypt only one bit per color pixel. Recently, two new techniques for hiding data using Fibonacci decomposition has been developed, which enable a more sophisticated approach. In this work, we present a new embedding method, which generalizes...
The present paper relates to the methods for data encoding and the reading of coded information represented by colored (including monochrome/black, gray) symbols (bars, triangles, circles, or other symbols). It also introduces new algorithms for generating secure, reliable, and high capacity color barcodes by using so called weighted n-dimensional random Fibonacci number based representations of data...
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