Code Based Secret Sharing Schemes: Applied Combinatorial Coding Theory

Secret sharing schemes are essential in cryptography, allowing authorized coalition of users to retrieve a secret by dividing it into shares. This book explores research in Combinatorial Coding Theory, including self-dual codes and minimal codes, and their applications in image processing and key management of MANETs.

Format: Hardback
Length: 212 pages
Publication date: 18 May 2022
Publisher: World Scientific Publishing Co Pte Ltd

Cryptography is a field that is constantly evolving, and secret sharing schemes are one of its most important aspects. These protocols are used in a wide range of applications, including applied mathematics, computer science, electrical engineering, and more. A secret is typically divided into several pieces called shares, which are then distributed to users of the system. Each user has only a portion of the secret, but when these users come together in an authorized coalition, they can retrieve the complete secret.

This book is dedicated to exploring various schemes inspired by Coding Theory, which has played a significant role in developing secret sharing protocols. The classical schemes of Shamir, Blakley, and Massey are recalled, and a survey is made of research in Combinatorial Coding Theory that has triggered these schemes. Self-dual codes and minimal codes are two examples of the types of codes that have been studied in this context.

In addition to their theoretical significance, secret sharing schemes have numerous practical applications. One such application is image processing, where the secret is used to protect the privacy of images. Another application is key management in MANETs (Mobile Ad hoc Networks), where the secret is used to establish secure communication between nodes.

Overall, secret sharing schemes are a fundamental component of cryptography, and their study has led to numerous advancements in the field. This book provides a comprehensive overview of these schemes and their applications, making it an essential resource for researchers, practitioners, and anyone interested in the security of communication systems.

Weight: 456g
Dimension: 158 x 235 x 21 (mm)
ISBN-13: 9789811248320