Abstract

Finite fields are well-studied algebraic structures with enormous efficient properties which have applications in the fields of cryptology and coding theory. In this study, we proposed a lossless binary Galois field extension-based efficient algorithm for digital audio encryption. The proposed architecture hired a special type of curve in the diffusion module which depends on efficient elliptic curve arithmetic operations. So, it generates good quality pseudo-random numbers (PRN) and with slight computational efforts, it produces optimum diffusion in the encrypted audio files. For the confusion module, a novel construction mechanism of block cipher has been employed which includes prominent arithmetic operations of binary Galois field inversion and multiplication operations. The suggested scheme generates multiple substitution boxes (S-boxes) by using a higher-order Galois field. Thus, the replacement with multiple S-boxes generates effective perplexity in the data and provides additional security to the ciphered audio. The investigational outcomes through different analyses and time complexity demonstrated the ability of the technique to counter various attacks. Furthermore, as a consequence of a rapid and simple application of the binary finite field in hardware and software, the proposed scheme is more appropriate to be applied for data security.

Highlights

  • In recent decades, due to the speedy development in science and digital technologies, the role of multimedia data in social life has been increased

  • Some of the prominent algorithms such as data encryption standard (DES) [1], international data encryption standard (IDES) [2], triple data encryption standard (TDES) [3], advanced encryption standard (AES) [4], and RSA are widely used for the security purposes and considered as well protected and reliable

  • Since multimedia data contains a large amount of data that is highly correlated, the only dependency on the algorithms like AES, RSA, and DES is not good enough for multimedia data security

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Summary

INTRODUCTION

Due to the speedy development in science and digital technologies, the role of multimedia data in social life has been increased. In 2004, Bhargava et al [22] proposed four fast encryption algorithms for MPEG video, where a key is used to randomly change the sign bits of the Discrete Cosine Transform (DCT) coefficients and/or the sign bits of motion vectors These schemes put on a small overhead to the MPEG codec. The development of cryptographic applications on hardware attempted to take benefit of the comfort implementation of Galois fields to boost the performance and abbreviate the costs These properties of finite fields attract us towards the development of one new algorithm for digital audio data security based on a Galois field. 1.2 Our Contribution In this manuscript, we designed a novel lossless audio data encryption scheme based on arithmetic operations of an elliptic curve over a finite field Zp and binary Galois filed.

PRELIMINARIES
ELLIPTIC CURVE
ELLIPTIC CURVE ARITHMETIC
SINGULAR POINT
AUDIO ENCRYPTION SCHEME
PROPOSED ALGORITHM
SECURITY ANALYSIS
CORRELATION ANALYSIS
DIFFERENTIAL ANALYSIS
NIST STATISTICAL TEST
CONCLUSION
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