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Coding Theory, Cryptography, and Finite Fields: Technology and Applications

Coding Theory, Cryptography, and Finite Fields: Technology and Applications

          
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About the Book

The book explores the theory and applications of finite fields, from basic concepts such as modular arithmetic and polynomial interpolation to advanced topics such construction and counting of polynomials.

  • Addresses a wide range of topics within coding theory, cryptography, and finite fields, offering a holistic understanding of these interconnected fields.
  • Discusses cutting-edge subjects such as quantum cryptography and multimedia security, making it relevant to current and future technological advancements.
  • Explores polynomials over finite fields and their applications in coding theory and cryptography to enhance the reader's understanding of the mathematical foundations critical to these areas.
  • Emphasizes real-world applications of theoretical concepts, particularly in error correction, data security, and encryption algorithms.
  • Explains critical challenges in protecting multimedia data, offering cutting-edge techniques for securing images, videos, and audio files against unauthorized access and piracy.

The text is primarily written for senior undergraduates, graduate students, and academic researchers in electrical engineering, electronics and communications engineering, computer science and engineering, and information technology.



Table of Contents:

1. An Introduction to Single and Double Error Correcting Codes 2. Skew Generalized Polycyclic Codes with Derivations 3. Construction of Block-Matrix LCD Codes 4. Challenges in Protecting Multimedia Data 5. Hybrid Cryptographic Systems: The Need for Security, Cryptography and Advancements 6. Secure Image Encryption Based on a Novel 2D Chaotic Map and Four-Phase Scrambling 7. Quantum Key Distribution Protocols 8. Exploring the evolution of Quantum Teleportation: Research in Quantum Cryptography: A Scientometric Evaluation 9. Quantum Phase Parameterized True Random Number Generation for Secure Communications 10. From Observations to Models: Statistical Methods in Cosmology 11. Progress in Lattice-Based Digital Signature: Systematic Review, Challenges and Research Directions 12. Construction of Some new classes of Irreducible and NPs over Finite Fields 13. Enumeration of Latin squares constructed using bivariate permutation polynomials over finite fields 14. PQLS-EVote: A Novel Post-quantum Secure and Efficient Lattice-based Signcryption Scheme for Electronic Voting


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Product Details
  • ISBN-13: 9781041076681
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: CRC Press
  • Height: 254 mm
  • No of Pages: 378
  • Width: 178 mm
  • ISBN-10: 1041076681
  • Publisher Date: 29 Jun 2026
  • Binding: Hardback
  • Language: English
  • Sub Title: Technology and Applications


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