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Self-invertible key on Cipher Polygraphic Polyfunction with eigen matrix based IMIE


Citation

Yunos, Faridah and Ayub, Nur Aqilah Fakhira and Mohammad Rasyidi, Nurul Fatin Atiqa and Asbullah, Muhammad Asyraf (2024) Self-invertible key on Cipher Polygraphic Polyfunction with eigen matrix based IMIE. Applied Mathematics and Computational Intelligence (AMCI), 13 (3). pp. 13-25. ISSN 2289-1323, 2289-1315

Abstract

Hill Cipher’s System and its modifications are still practiced mainly in sending a secret message involving images. One drawback that the recipient of the message is trying to overcome is to get the decryption key from the cipher text to plain text during the decryption process. Previous studies have proven that using self-invertible keys can reduce the complexity to obtain this key. This paper generates a self-invertible matrix based on Integer-Entry Matrix with all Integer Eigenvalues (IMIE). Subsequently, we executed it into Cipher Polygraphic Polyfunction Cryptosystem and observed the effect. We noticed that when the self-invertible key was employed during even-th transformations, the system became vulnerable to adversary attacks due to recurrence results. It is unnecessary to alter the original message through odd-th transformations, as this process only retrieves the original message.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Centre of Foundation Studies for Agricultural Science
DOI Number: https://doi.org/10.58915/amci.v13i3.344
Publisher: Penerbit Universiti Malaysia Perlis
Keywords: Hill Cipher; Self-invertible; Matrix; Decryption; Eigenmatrix
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 05 May 2025 07:30
Last Modified: 05 May 2025 07:30
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.58915/amci.v13i3.344
URI: http://psasir.upm.edu.my/id/eprint/117222
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