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In this contribution we propose a novel steganographic method based onseveral orthogonal polynomials and their combinations. The steganographicalgorithm embeds a secrete message at the first eight coefficients of highfrequency image. Moreover, this embedding method uses the Beta chaotic map todetermine the order of the blocks where the secret bits will be inserted. Inaddition, from a 128-bit private key and the steps of a cryptography algorithmaccording to the Advanced Encryption Standard (AES) to generate the keyexpansion, the proposed method generates a key expansion of 2560 bits, with thepurpose to permute the first eight coefficients of high frequency before theinsertion. The insertion takes eventually place at the first eight highfrequency coefficients in the transformed orthogonal moments domain. Before theinsertion of the message the image undergoes a series of transformations. Afterthe insertion the inverse transformations are applied to the originaltransformations in reverse order. The experimental work on the validation ofthe algorithm consists of the calculation of the Peak Signal-to-Noise Ratio(PSNR), the Universal Image Quality Index (UIQI), the Image Fidelity (IF), andthe Relative Entropy (RE), comparing the same characteristics for the cover andstego image. The proposed algorithm improves the level of imperceptibility andsecurity analyzed through the PSNR and RE values, respectively.

Hiding data inside images using orthogonal moments