The Design of a Novel Multiple-Parameter Fractional Number-Theoretic Transform and Its Application to Image Encryption
José R. de Oliveira Neto, Juliano Bandeira Lima, Daniel Panario · IEEE Transactions on Circuits and Systems for Video Technology · 2019
In this paper, we describe an image encryption scheme based on the multiple-parameter fractional number-theoretic transform (MFrNTT). In order to define the MFrNTT used in our proposal, we introduce a systematic procedure to construct a number-theoretic transform eigenbasis from chosen parameters. Our results indicate that the proposed scheme can resist to cryptographical attacks usually considered in the related literature; at the same time, our method is very competitive in terms of encryption/decryption speed when compared with other existing approaches. We also demonstrate that our scheme can be easily adjusted to deal with different types of images and that it involves a larger number of free parameters than other NTT-based image encryption techniques.