An Efficient Audio Encryption Scheme Based on Elliptic Curve over Finite Fields

Hafeez Ur Rehman (), Mohammad Mazyad Hazzazi, Tariq Shah, Zaid Bassfar and Dawood Shah
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Hafeez Ur Rehman: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Mohammad Mazyad Hazzazi: Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia
Tariq Shah: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Zaid Bassfar: Department of Information Technology, University of Tabuk, Tabuk 71491, Saudi Arabia
Dawood Shah: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

Mathematics, 2023, vol. 11, issue 18, 1-18

Abstract: Elliptic curve (EC) based cryptographic systems are more trustworthy than the currently used cryptographic approaches since they require less computational work while providing good security. This paper shows how to use an EC to make a good cryptosystem for encrypting digital audio. As a preliminary step, the system uses an EC of a particular type over a binary extension field to distort the digital audio pixel position. It reduces the inter-correlation between pixels in the original audio, making the system resistant to statistical attacks. In creating confusion in the data, an EC over a binary extension field is used to make a different number of substitution boxes (S-boxes). The suggested design employs a unique curve that relies on efficient EC arithmetic operations in the diffusion module. As a result, it generates high-quality pseudo-random numbers (PRNs) and achieves optimal diffusion in encrypted audio files with less processing work. Audio files of various sizes and kinds can all be encrypted using the provided algorithm. Moreover, the results show that this method effectively protects many kinds of audio recordings and is more resistant to statistical and differential attacks.

Keywords: Mordell elliptic curve; Galois field; substitution box; pseudo-random numbers generator; audio encryption (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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