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

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 dat...

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Published inMathematics (Basel) Vol. 10; no. 20; p. 3878
Main Authors Lone, Parveiz Nazir, Singh, Deep, Stoffová, Veronika, Mishra, Deep Chandra, Mir, Umar Hussain, Kumar, Neerendra
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2022
Subjects
3D Arnold transform
affine Hill cipher
Algorithms
brute force attack
Ciphers
Computer systems
cryptanalysis
Cryptography
Curves
Curves, Elliptic
Data encryption
Data transfer (computers)
Ellipse
elliptic curve
Encryption
Image processing
Kerckchoff’s principle
Mathematical research
Multimedia
Privacy
Hungary
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10203878