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 Sagea free open-source mathematics software systemto illustrate?ideas, this book?is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.
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.
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, yet still highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a noisy channel. Despite its frequent use in a range of contextsthe first close-up pictures of the surface of Mars, taken by the NASA spacecraft Mariner 9, were transmitted back to Earth using a ReedMuller codethe subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades.
Employing Sagea free open-source mathematics software systemto illustrate their ideas, the authlĂ›