Key extraction in a chaos-based image cipher and wavelet packets
Corina Macovei, Adina-Elena Lupu, Mircea Răducanu, Octaviana Datcu · 2020
The novelty of this work is the statistical perspective of the cryptanalyst being able to perform a chosen plaintext attack on a private communication scheme involving chaos-based algorithms. The attacker finds himself in the position of analyzing the pseudo-random matrix that was used for encryption. The contribution is done in the context of the well-known fields of secret-key cryptology and that of wavelet packet decomposition of images. The analysis is exemplified on the thoroughly investigated, in the existing literature, simplest chaotic system, the logistic map. Kolmogorov-Smirnov tests, histogram testing, autocorrelation functions and nonlinear singular value decomposition are used. In addition, a new enciphering wavelet-based algorithm is proposed and analyzed.