Fresnelet approach for image encryption in the algebraic frame

Shabieh Farwa, Nazeer Muhammad, Nargis Bibi, Sajjad A. Haider, Syed R. Naqvi and Sheraz Anjum

Applied Mathematics and Computation, 2018, vol. 334, issue C, 343-355

Abstract: In this manuscript, a novel, more efficient method to encrypt an image in the Fresnelet domain is proposed. The uniqueness of the presented algorithm depends on the Fresnelet transform based image decomposition in conjunction with an algebraically synthesized substitution box. The high- nonlinearity induced by the eccentrically designed S-box boosts the security of proposed scheme. In this two-steps encryption algorithm, firstly, we apply the Fresnelet transform to propagate information with desired wavelength at a specified distance. This results in the decomposition of the secret image data into four complex subbands. These complex sub-bands are further partitioned into real subband data and imaginary subband data. At second step, the net subband data, produced at the first level, is diffused by a unique iterative substitution approach based on the algebraic structure of Galois field F28. In the diffusion process, the permuted image is substituted via algebraic substitution algorithm. We prove through significant analysis techniques that the proposed scheme offers a highly elevated security level in encryption.

Keywords: Fresnelet transform; Galois field; F2n; Primitive element; Multiplicative cyclic group; Chaos (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318302868
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:334:y:2018:i:c:p:343-355

DOI: 10.1016/j.amc.2018.03.105

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().