IDEAS home Printed from https://ideas.repec.org/a/ajp/edwast/v9y2025i5p436-443id6886.html
   My bibliography  Save this article

Enhancing block cipher diffusion: A mathematical approach to key-dependent mix column transformations

Author

Listed:
  • Shiraz Naserelden
  • Norma Alias
  • Abdelrahamn Altigani
  • Maher Waheeb
  • Azmi Alazzam
  • Muawia A. Elsadig
  • Hasan Abu Hilal

Abstract

In this paper, we propose a novel key-dependent MixColumn transformation to enhance the diffusion properties of block ciphers, specifically within the AES framework. The proposed method introduces dynamic variation into the MixColumn step by extracting a pseudo-random value from the round key, which is used to perform cyclic permutations on the MixColumn coefficients. This leads to the construction of a round-dependent transformation matrix, mathematically defined and proven to maintain invertibility over GF(2⁸). We provide a formal mathematical representation of the proposed model and analyze its diffusion characteristics, linear independence, and resistance to cryptanalytic attacks. Our approach eliminates static transformation patterns and introduces key-driven unpredictability, offering a promising direction for adaptive cryptographic primitives without increasing algorithmic complexity or requiring hardware modifications.

Suggested Citation

  • Shiraz Naserelden & Norma Alias & Abdelrahamn Altigani & Maher Waheeb & Azmi Alazzam & Muawia A. Elsadig & Hasan Abu Hilal, 2025. "Enhancing block cipher diffusion: A mathematical approach to key-dependent mix column transformations," Edelweiss Applied Science and Technology, Learning Gate, vol. 9(5), pages 436-443.
    • Handle: RePEc:ajp:edwast:v:9:y:2025:i:5:p:436-443:id:6886
    as

    Download full text from publisher

    File URL: https://learning-gate.com/index.php/2576-8484/article/view/6886/2420
    Download Restriction: no
    ---><---

    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:ajp:edwast:v:9:y:2025:i:5:p:436-443:id:6886. 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: Melissa Fernandes (email available below). General contact details of provider: https://learning-gate.com/index.php/2576-8484/ .

    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.