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  • Open Access


    Improving Video Watermarking through Galois Field GF(24) Multiplication Tables with Diverse Irreducible Polynomials and Adaptive Techniques

    Yasmin Alaa Hassan1,*, Abdul Monem S. Rahma2

    CMC-Computers, Materials & Continua, Vol.78, No.1, pp. 1423-1442, 2024, DOI:10.32604/cmc.2023.046149

    Abstract Video watermarking plays a crucial role in protecting intellectual property rights and ensuring content authenticity. This study delves into the integration of Galois Field (GF) multiplication tables, especially GF(24), and their interaction with distinct irreducible polynomials. The primary aim is to enhance watermarking techniques for achieving imperceptibility, robustness, and efficient execution time. The research employs scene selection and adaptive thresholding techniques to streamline the watermarking process. Scene selection is used strategically to embed watermarks in the most vital frames of the video, while adaptive thresholding methods ensure that the watermarking process adheres to imperceptibility criteria, maintaining the video’s visual quality.… More >

  • Open Access


    Asymmetric Key Cryptosystem for Image Encryption by Elliptic Curve over Galois Field

    Mohammad Mazyad Hazzazi1, Hafeez Ur Rehman2,*, Tariq Shah2, Hajra Younas2

    CMC-Computers, Materials & Continua, Vol.76, No.2, pp. 2033-2060, 2023, DOI:10.32604/cmc.2023.040629

    Abstract Protecting the integrity and secrecy of digital data transmitted through the internet is a growing problem. In this paper, we introduce an asymmetric key algorithm for specifically processing images with larger bit values. To overcome the separate flaws of elliptic curve cryptography (ECC) and the Hill cipher (HC), we present an approach to picture encryption by combining these two encryption approaches. In addition, to strengthen our scheme, the group laws are defined over the rational points of a given elliptic curve (EC) over a Galois field (GF). The exclusive-or (XOR) function is used instead of matrix multiplication to encrypt and… More >

  • Open Access


    An Efficient Three-Party Authenticated Key Exchange Procedure Using Chebyshev Chaotic Maps with Client Anonymity

    Akshaykumar Meshram1,2, Monia Hadj Alouane-Turki3, N. M. Wazalwar2, Chandrashekhar Meshram4,*

    CMC-Computers, Materials & Continua, Vol.75, No.3, pp. 5337-5353, 2023, DOI:10.32604/cmc.2023.037324

    Abstract Internet of Things (IoT) applications can be found in various industry areas, including critical infrastructure and healthcare, and IoT is one of several technological developments. As a result, tens of billions or possibly hundreds of billions of devices will be linked together. These smart devices will be able to gather data, process it, and even come to decisions on their own. Security is the most essential thing in these situations. In IoT infrastructure, authenticated key exchange systems are crucial for preserving client and data privacy and guaranteeing the security of data-in-transit (e.g., via client identification and provision of secure communication).… More >

  • Open Access


    Mordell Elliptic Curve Based Design of Nonlinear Component of Block Cipher

    Hafeez ur Rehman1,*, Tariq Shah1, Mohammad Mazyad Hazzazi2, Ali Alshehri3, Bassfar Zaid4

    CMC-Computers, Materials & Continua, Vol.73, No.2, pp. 2913-2930, 2022, DOI:10.32604/cmc.2022.028765

    Abstract Elliptic curves (ECs) are deemed one of the most solid structures against modern computational attacks because of their small key size and high security. In many well-known cryptosystems, the substitution box (S-box) is used as the only nonlinear portion of a security system. Recently, it has been shown that using dynamic S-boxes rather than static S-boxes increases the security of a cryptosystem. The conferred study also extends the practical application of ECs in designing the nonlinear components of block ciphers in symmetric key cryptography. In this study, instead of the Mordell elliptic curve (MEC) over the prime field, the Galois… More >

  • Open Access


    k-Order Fibonacci Polynomials on AES-Like Cryptology

    Mustafa Asci, Suleyman Aydinyuz*

    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.1, pp. 277-293, 2022, DOI:10.32604/cmes.2022.017898

    Abstract The Advanced Encryption Standard (AES) is the most widely used symmetric cipher today. AES has an important place in cryptology. Finite field, also known as Galois Fields, are cornerstones for understanding any cryptography. This encryption method on AES is a method that uses polynomials on Galois fields. In this paper, we generalize the AES-like cryptology on 2 × 2 matrices. We redefine the elements of k-order Fibonacci polynomials sequences using a certain irreducible polynomial in our cryptology algorithm. So, this cryptology algorithm is called AES-like cryptology on the k-order Fibonacci polynomial matrix. More >

  • Open Access


    Design of Nonlinear Components Over a Mordell Elliptic Curve on Galois Fields

    Hafeez ur Rehman1,*, Tariq Shah1, Amer Aljaedi2, Mohammad Mazyad Hazzazi3, Adel R. Alharbi2

    CMC-Computers, Materials & Continua, Vol.71, No.1, pp. 1313-1329, 2022, DOI:10.32604/cmc.2022.022224

    Abstract Elliptic curve cryptography ensures more safety and reliability than other public key cryptosystems of the same key size. In recent years, the use of elliptic curves in public-key cryptography has increased due to their complexity and reliability. Different kinds of substitution boxes are proposed to address the substitution process in the cryptosystems, including dynamical, static, and elliptic curve-based methods. Conventionally, elliptic curve-based S-boxes are based on prime field but in this manuscript; we propose a new technique of generating S-boxes based on mordell elliptic curves over the Galois field . This technique affords a higher number of possibilities to generate… More >

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