IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i20p3878-d946732.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, India)

  • Veronika Stoffová

    (Department of Mathematics and Computer Science, Trnava University, 91843 Trnava, Slovakia
    Department of Media and Educational Informatics, Faculty of Informatics, Eötvös Loránd University, 1053 Budapest, Hungary)

  • 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)

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.

Suggested Citation

  • Parveiz Nazir Lone & Deep Singh & Veronika Stoffová & Deep Chandra Mishra & Umar Hussain Mir & Neerendra Kumar, 2022. "Cryptanalysis and Improved Image Encryption Scheme Using Elliptic Curve and Affine Hill Cipher," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3878-:d:946732
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/20/3878/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/20/3878/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhou, Rong & Yu, Simin, 2024. "Break an enhanced plaintext-related chaotic image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3878-:d:946732. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.