Image encryption based on fractional chaotic pseudo-random number generator and DNA encryption method

Chunxiao Yang (1) , Ina Taralova (1) , Safwan El Assad (2) , Jean-Jacques Loiseau (3)

1 LS2N - Laboratoire des Sciences du Numérique de Nantes
2 IETR - Institut d'Électronique et des Technologies du numéRique
3 LS2D (CEA, LIST) - Laboratoire Sciences des Données et de la Décision (CEA, LIST)

Nonlinear dynamic systems and chaotic systems have been quite exhaustively researched in the domain of cryptography. However, the possibility of using the fractional chaotic system in the cryptosystem design has been much less explored while it bears advantages such as enlarged keyspace, compared to classical nonlinear systems. This paper, therefore, proposes a novel structure for the pseudo-random number generator based on fractional chaotic systems which consists of 3 different fractional chaotic systems, namely fractional Chen's system, Lu's system, and fractional generalized double-humped logistic map(FGDHL). Then, the outputs of this fractional chaotic pseudo-random number generator(FCPRNG) are used as a keystream for an image encryption scheme. The confusion layer of the scheme is conducted by a dynamic DNA encoding and decoding method combined with a 2D cat map for the permutation in the DNA-bases level. The diffusion layer is performed through the adoption of a 32 bits discrete logistic map. The performance and security analysis have been conducted for the above-designed cryptosystem, proving that the proposed cryptosystem is practical and secure in image encryption.

Mots clés: fractional chaotic system; pseudo-random number generator; DNA encoding and decoding; image encryption

Domaines: Science non linéaire [physics]

Chunxiao Yang, Ina Taralova, Safwan El Assad, Jean-Jacques Loiseau. Image encryption based on fractional chaotic pseudo-random number generator and DNA encryption method. Nonlinear Dynamics, 2022, 109 (3), pp.2103-2127. ⟨10.1007/s11071-022-07534-z⟩. ⟨hal-03856064⟩