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In this paper a randomness evaluation of a block cipher for secure imagecommunication is presented. The GFHT cipher is a genetic algorithm, thatcombines gene fusion (GF) and horizontal gene transfer (HGT) both inspired fromantibiotic resistance in bacteria. The symmetric encryption key is generated byfour pairs of chromosomes with multi-layer random sequences. The encryptionstarts by a GF of the principal key-agent in a single block, then HGT performsobfuscation where the genes are pixels and the chromosomes are the rows andcolumns. A Salt extracted from the image hash-value is used to implementone-time pad (OTP) scheme, hence a modification of one pixel generates adifferent encryption key without changing the main passphrase or key.Therefore, an extreme avalanche effect of 99% is achieved. Randomnessevaluation based on random matrix theory, power spectral density, avalancheeffect, 2D auto-correlation, pixels randomness tests and chi-square hypothesestesting show that encrypted images adopt the statistical behavior of uniformwhite noise; hence validating the theoretical model by experimental results.Moreover, performance comparison with chaos-genetic ciphers shows the merit ofthe GFHT algorithm.

Randomness Evaluation of a Genetic Algorithm for Image Encryption: A Signal Processing Approach