Introduction to Coding Theory

This book serves as a textbook for undergraduate and advanced graduate courses in coding theory, discrete mathematics, engineering, and theoretical computer science. It provides an elementary introduction to coding, theory, and applications, as well as a brief introduction to algebraic curves and their applications.

Format: Paperback / softback
Length: 538 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

This comprehensive textbook serves as an invaluable resource for both undergraduate and advanced graduate courses in coding theory, as well as for researchers in discrete mathematics, engineering, and theoretical computer science. Spanning three distinct parts, it offers a thorough and foundational introduction to coding theory, delving into its principles, applications, and algebraic curves.

The first part provides a solid foundation, covering essential concepts and algorithms related to coding theory. It introduces the basic ideas of error-correcting codes, their construction, and performance analysis, enabling students to understand the fundamental principles of data transmission and storage.

The second part explores the theory and applications of codes, providing a comprehensive overview of various coding schemes and their use in communication systems. It discusses topics such as block codes, convolutional codes, and turbo codes, highlighting their advantages, limitations, and practical implementations. The book also discusses the design and analysis of codes for data compression, digital image processing, and secure communication.

The third part focuses on algebraic curves, providing a brief introduction to the theory and its significant applications to coding theory. It discusses the concept of elliptic curves, their properties, and their use in cryptography, particularly in the design of secure communication protocols. The book also explores the application of algebraic curves to other fields, such as number theory and computer graphics.

Throughout the text, numerous examples, exercises, and case studies are included to reinforce the theoretical concepts and aid in understanding their practical applications. The book is written in a clear and concise manner, making it accessible to students with a background in mathematics or computer science.

In summary, this textbook is an essential resource for anyone interested in coding theory, discrete mathematics, engineering, or theoretical computer science. Its comprehensive coverage, practical examples, and extensive references make it an invaluable tool for both students and professionals in these fields. Whether you are a novice or an experienced researcher, this book will provide you with the knowledge and skills necessary to excel in your studies and contribute to the advancement of coding theory.

This comprehensive textbook serves as an invaluable resource for both undergraduate and advanced graduate courses in coding theory, as well as for researchers in discrete mathematics, engineering, and theoretical computer science.

Spanning three distinct parts, it offers a thorough and foundational introduction to coding theory, delving into its principles, applications, and algebraic curves.

The first part provides a solid foundation, covering essential concepts and algorithms related to coding theory.

It introduces the basic ideas of error-correcting codes, their construction, and performance analysis, enabling students to understand the fundamental principles of data transmission and storage.

The second part explores the theory and applications of codes, providing a comprehensive overview of various coding schemes and their use in communication systems.

It discusses topics such as block codes, convolutional codes, and turbo codes, highlighting their advantages, limitations, and practical implementations.

The book also discusses the design and analysis of codes for data compression, digital image processing, and secure communication.

The third part focuses on algebraic curves, providing a brief introduction to the theory and its significant applications to coding theory.

It discusses the concept of elliptic curves, their properties, and their use in cryptography, particularly in the design of secure communication protocols.

The book also explores the application of algebraic curves to other fields, such as number theory and computer graphics.

Throughout the text, numerous examples, exercises, and case studies are included to reinforce the theoretical concepts and aid in understanding their practical applications.

The book is written in a clear and concise manner, making it accessible to students with a background in mathematics or computer science.

In summary, this textbook is an essential resource for anyone interested in coding theory, discrete mathematics, engineering, or theoretical computer science.

Its comprehensive coverage, practical examples, and extensive references make it an invaluable tool for both students and professionals in these fields.

Whether you are a novice or an experienced researcher, this book will provide you with the knowledge and skills necessary to excel in your studies and contribute to the advancement of coding theory.

Weight: 1000g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032477190
Edition number: 2 ed