A FRACTAL ENCRYPTION ALGORITHM PENG Hai, GUO Qing-ping 1,2 Computer Processing & Distributing Laboratory, Wuhan University of Technology
the Mandlebrot Set Fractal The Fractal geometry was set up by Mandelbrot at 1973. Here it is the famous Mandlbrot Set Fractal which generate by the follow Mandlbrot Set Equation. Zk+1 = Zk2 + C (Z0 = 0)
Famous Fractals The Sierpinski triangle The Sierpinski carpet
Fractal Dimension Dimension: m - edges numbers s - sub-triangles numbers Dimension: n=1 n=2 n=3 n=4
Procedure of Eryption key: 0000 0011 0001 plaintext: 011001110 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Procedure of Eryption key: 0000 0011 0001 plaintext: 011001110 ciphertext: 011101010 1 1 1 1 1 1 1 1 1 1 1 1
How to implement? 1 ^ 1 1 100 010 111 1 1 1 1
How to implement? 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 110 101 100 001 011 100 100 001 110 1 1 1 1 1 1 1 1 1 1 1 1 1
How to implement? 1 1 1 1 1 1 1 1 1 … … … … … … … … 1
Some Extension 1 Change the data inputing order 2 Change location key: 0000 0011 key: 0001 0000 0011 111010010 plaintext: 100010111 plaintext: 100010111 00101011 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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