Method for encrypting and decrypting data using chaotic maps

Details Method for encrypting and decrypting data using chaotic maps Method for encrypting and decrypting data using chaotic maps

1996-12-10

2000-05-16

Trammell, James P.

Cryptography

Particular algorithmic function encoding

380 37, 380 44, 380243, H04L 918, H04L 934, H04K 106

Patent

active

060647388

ABSTRACT:
The present invention features a method for encrypting and decrypting large amounts of data such as images. A simple two-dimensional map is first generalized by the introduction of parameters. The generalized map is then discretized so that it maps a rectangular matrix of points (pixels in the case of image data) in a bijective manner. Finally, the map is extended to three dimensions to modify the gray levels. The parameters of the map then serve as a ciphering key. The encryption consists of several iterative applications of the map to a block of a plain text message such as an image. The encryption is such that the resultant image is uncorrelated and appears as static on a TV monitor in the absence of a signal. The resultant histogram of the enciphered image becomes essentially uniform. The enciphered data is deciphered by applying an inverse map an identical number of iterations. The inventive method provides both superior speed and improved security over previously used methods of encryption.

REFERENCES:
patent: 4232194 (1980-11-01), Adams
patent: 5001754 (1991-03-01), Deffeyes
patent: 5365589 (1994-11-01), Gutowitz
patent: 5479513 (1995-12-01), Protopopescu et al.
patent: 5533127 (1996-07-01), Luther
patent: 5696826 (1997-12-01), Gao
patent: 5870470 (1999-02-01), Johnson et al.
Schneier, B., "Applied Cryptography," 2nd Ed., John Wiley & Sons, pp. 193-197, Oct. 1995.

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