An algebraic and chaotic three-layered digital data encryption technique

This article introduces an encryption scheme for any digital data. The introduced encryption scheme is primarily based on three layers: substitution, permutation, and bit XOR. The substitution phase is acquired by multiple substitution boxes constructed over the multiplicative group of the commutative chain ring R ₈. For the permutation step, to permute the pixels of the image, a sequence of the parity bit is obtained by a recursive map through Blum integer. This phase considerably reduces the correlation between neighboring pixels. Since the behavior of chaos is remarkable in secure communication, for bit XOR operation a chaotic sequence is generated through a four-dimensional (4D) chaotic attractor. In the end, the proposed encoding scheme is assessed by different analyses. The overall results confirmed that the presented work has good cryptographic features which makes it suitable for low-profile mobile applications.