Cryptanalysis and Improved Image Encryption Scheme Using Elliptic Curve and Affine Hill Cipher

Parveiz Nazir Lone, Deep Singh, Veronika Stoffová (), Deep Chandra Mishra, Umar Hussain Mir and Neerendra Kumar
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Parveiz Nazir Lone: Department of Mathematics, Central University of Jammu, Jammu 181143, India
Deep Singh: Department of Mathematics, Central University of Jammu, Jammu 181143, India
Veronika Stoffová: Department of Mathematics and Computer Science, Trnava University, 91843 Trnava, Slovakia
Deep Chandra Mishra: Department of Mathematics, Bhakt Darshan Govt. PG College, Jaiharikhal, Pauri Garhwal 246155, India
Umar Hussain Mir: Department of Mathematics, Central University of Jammu, Jammu 181143, India
Neerendra Kumar: Department of Computer Science and IT, Central University of Jammu, Jammu 181143, India

Mathematics, 2022, vol. 10, issue 20, 1-18

Abstract: In the present era of digital communication, secure data transfer is a challenging task in the case of open networks. Low-key-strength encryption techniques incur enormous security threats. Therefore, efficient cryptosystems are highly necessary for the fast and secure transmission of multimedia data. In this article, cryptanalysis is performed on an existing encryption scheme designed using elliptic curve cryptography (ECC) and a Hill cipher. The work shows that the scheme is vulnerable to brute force attacks and lacks both Shannon’s primitive operations of cryptography and Kerckchoff’s principle. To circumvent these limitations, an efficient modification to the existing scheme is proposed using an affine Hill cipher in combination with ECC and a 3D chaotic map. The efficiency of the modified scheme is demonstrated through experimental results and numerical simulations.

Keywords: affine Hill cipher; brute force attack; cryptanalysis; elliptic curve; Kerckchoff’s principle; 3D Arnold transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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