Codes, Cryptology and Curves with Computer Algebra

Xin-Wen Wu author Ruud Pellikaan author Stanislav Bulygin author Relinde Jurrius author

Format:Hardback

Publisher:Cambridge University Press

Published:2nd Nov '17

Currently unavailable, and unfortunately no date known when it will be back

This hardback is available in another edition too:

Codes, Cryptology and Curves with Computer Algebra cover

Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.

This graduate-level text covers theoretical and applied aspects of protecting digital data. Starting from the basics, it introduces error-correcting codes and explains how to apply them to symmetric and public key cryptosystems. Readers will learn methods of protecting digital data while it is transmitted and while it is being stored.This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.

'The book under review is intended as an introduction to the field for beginning graduate students. The authors do a good job of covering a wide range of topics and keeping the discussion detailed while still as elementary as one can hope to make it.' Darren Glass, MAA Reviews
'While 'coding' may commonly connote confidential communication and security for sensitive data, coding also enters the engineering of information transmission and retrieval, simply for efficient resilience against mechanical error and corrupting noise. From these two purposes rise the two distinct subjects of cryptology and error-correction, receiving here an unusual, unified treatment. Good codes spring from diverse directions, since so many branches of mathematics inform their development: combinatorics, linear algebra, finite fields, ring theory, algebraic geometry, and computer algebra. The girth of this volume reflects the reasonably detailed exposition of all this background material, most of it likely new to engineering students (but students of pure mathematics should also read this book for practical applications of seemingly abstract material they have likely studied). The authors maintain a high level of rigor, keeping all proofs short by astute organization without ever stinting on detail.' D. V. Feldman, Choice
'This book provides a fine exposition of the topics to those students who are novices to the field. At the same time it will also be of interest to readers who are already familiar with some of the concepts discussed in the book. It provides a valuable schematic summary and consolidated overview of the field.' S. V. Nagaraj, SIGACT News
I was impressed by the scope of the book: many topics in algebraic coding theory are addressed and now collected in one book. Someone reading the entire book, will obtain a very good overview of algebraic coding theory. Peter Beelen, Nieuw Archief voor Weskunde

ISBN: 9780521817110

Dimensions: 235mm x 157mm x 35mm

Weight: 980g

606 pages