The SPN Network for Digital Audio Data Based on Elliptic Curve Over a Finite Field

Abstract

The mathematical operation of the Elliptic Curve over the prime finite field is wildly used for secure data communication as it provides high security while utilizing the same size as the secret key. This manuscript presents a novel approach the SPN (Substitution Permutation Network) for a new digital audio encryption scheme based on Mordell elliptic curve (MEC) over a finite prime field. The proposed scheme consists of a confusion and diffusion module. For the confusion module, the scheme initially generates 5 × 5 bijective S-boxes, which have never been applied in the present literature with good cryptographic properties. The generated S-box is then used parallel in the substitution module, which provides optimum confusion in the cipher data. For the diffusion property, the scheme generates pseudorandom number sequences used for block permutation and achieves the property of diffusion. The scheme has been thoroughly securitized against various attacks. The result shows the efficiency of the proposed algorithm over the existing schemes. In addition, the framework that is used to generate MEC points is based on the searching technique. Consequently, it significantly reduces the computational cost and enhances the scheme's performance compared to the schemes presented in the literature.

Enhancing Speed and Imperceptibility in Watermarking Systems by Leveraging Galois Field Tables

“…To enhance accessibility and readability, addition and multiplication tables for GF(2 3 ), GF(2 5 ), and GF(2 6 ) are provided in the appendix section. [ [1,2,3,4,5,6,7,8,9,10,11,12,13,14,5], [2,4,6,8,10,12,14,3,1,7,5,11,9,15,13], [3,6,5,12,15,10,9,11,8,13,14,7,4,1,2], [4,8,12,3,7,11,…”

“…Public key cryptography algorithms like elliptic curve cryptography (ECC) and RSA utilize finite fields for key generation, encryption, and decryption operations. The algebraic properties of finite fields contribute to the security and efficiency of these cryptographic schemes [13]. GF (p n ) is a common abbreviation for the finite field of order p n .…”

Quadratic twist of an elliptic curve in a generalized Weierstrass equation over a function field

“…For those seeking a more in-depth understanding of the material presented herein, we recommend referring to the following key sources: [2], [8], [9], and [16]. These references provide additional insights, theoretical frameworks, and empirical evidence that complement and extend the knowledge presented in this article.…”

A Mathematical Approach for Generating a Highly Non-Linear Substitution Box Using Quadratic Fractional Transformation

“…Five strong S-boxes were created by Ullah et al [17] using a chaotic map and a linear fractional transformation (LFT). Different techniques are utilized for the construction of S-boxes and other techniques to solve different model issues [18][19][20][21][22][23][24][25][26][27][28][29].…”