Synopses & Reviews
Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a 'noisy' channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage--a free open-source mathematics software system--to illustrate
Review
From the reviews: "This book presents a good number of unsolved problems for those who are interested in the mathematics of the theory of error-correcting codes. It will also be of interest to coding-theorists interested in knowing how to use SAGE to do certain computations with error-correcting codes. ... Overall, the book is a treat for coding-theorists in both theoretical and practical aspects." (Bal Kishan Dass, Mathematical Reviews, Issue 2012 i) "This is a book for mathematicians interested in learning, in a pleasant and instructive way, some main topics of coding theory. It is also a book for coding theorists interested in learning the program SAGE to perform computations with error-correcting codes. ... the book is interesting and enjoyable to read, and offers a good opportunity to learn about some of the most fascinating aspects of the mathematical theory of codes. It is also a good source for learning SAGE in a useful and entertaining way." (Carlos Munuera, Zentralblatt MATH, Vol. 1239, 2012)
Review
From the reviews:
"This book presents a good number of unsolved problems for those who are interested in the mathematics of the theory of error-correcting codes. It will also be of interest to coding-theorists interested in knowing how to use SAGE to do certain computations with error-correcting codes. ... Overall, the book is a treat for coding-theorists in both theoretical and practical aspects." (Bal Kishan Dass, Mathematical Reviews, Issue 2012 i)
"This is a book for mathematicians interested in learning, in a pleasant and instructive way, some main topics of coding theory. It is also a book for coding theorists interested in learning the program SAGE to perform computations with error-correcting codes. ... the book is interesting and enjoyable to read, and offers a good opportunity to learn about some of the most fascinating aspects of the mathematical theory of codes. It is also a good source for learning SAGE in a useful and entertaining way." (Carlos Munuera, Zentralblatt MATH, Vol. 1239, 2012)
Synopsis
Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that
Synopsis
This book explores several unsolved problems in coding theory. Employing Sage - a free open-source mathematics program - to illustrate ideas, the book can serve as supplementary reading material in a graduate course on coding theory, or as a self-study text.
Synopsis
Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that
Table of Contents
Preface.- Background.- Codes and Lattices.- Kittens and Blackjack.- RH and Coding Theory.- Hyperelliptic Curves and QR Codes.- Codes from Modular Curves.- Appendix.- Bibliography.- Index.