Steerable Fourier number transform with application to image encryption

摘要

In this paper, we introduce the steerable Fourier number transform (SFNT). It corresponds to a generalization of the well-known number-theoretic transform (NTT), obtained by applying a finite field rotation to pairs of vectors taken from the original Fourier-like NTT basis. We provide illustrative examples regarding the SFNT construction and propose an image encryption scheme based on the new transform; the principle of the method is to use the angles of the referred rotations as secret parameters. We demonstrate that the proposed scheme is resistant against the main cryptographic attacks, although it is simpler than other transform-based image encryption techniques.