Coding Theory Advances and Applications in Informatics, Data Analysis, Cryptography: Cryptography

Cryptography and coding theory share a common mathematical foundation in algebra, number theory, and information theory. While coding theory focuses on ensuring reliable transmission and storage of data in the presence of noise and errors, cryptography is concerned with safeguarding data from adversarial threats, ensuring confidentiality, integrity, and authenticity. In the modern landscape of data-driven technologies, these two perspectives have become increasingly intertwined. Secure communications, distributed systems, and intelligent networks require both error resilience and cryptographic protection to operate effectively. This book presents a comprehensive exploration of recent advances in coding theory, highlighting its profound applications across informatics, data analysis, and cryptography. Bringing together contributions from leading experts, the volume provides both theoretical insights and practical perspectives, making it a valuable resource for researchers, professionals, and advanced students alike. Topics covered include error-correcting codes, modern coding strategies for large-scale data systems, emerging applications in network coding, machine learning, and secure communications. Specific emphasis is placed on the role of coding theory in ensuring data integrity and robustness in an age of unprecedented information exchange. From enhancing the reliability of cloud storage to strengthening cryptographic protocols against evolving cyber threats and utilizing novel methods of data encryption, such as those employing Machine Learning and post-quantum security, the chapters demonstrate how coding techniques continue to adapt to contemporary challenges in digital technology. Written with clarity and depth, the book also serves as a bridge between the mathematical basis for coding and cryptography and their real-world applications. Each chapter combines rigorous discussion with illustrative examples, offering readers both a conceptual understanding and the tools for practical implementation. The book is not only a reference for specialists but also an invitation to explore how abstract mathematical ideas translate into innovations that safeguard and empower today's digital society.