书目名称 | Selected Unsolved Problems in Coding Theory |
编辑 | David Joyner,Jon-Lark Kim |
视频video | |
概述 | SAGE, a free open-source mathematics software system, is used with concrete examples in order to emphasize the computational aspects of coding theory.Introduces and explores unsolved open problems in |
丛书名称 | Applied and Numerical Harmonic Analysis |
图书封面 |  |
描述 | .This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting 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 ideas, this book is intended for graduate students and researchers in algebraic coding theory, especially those who are interested in finding some current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assumed. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.. |
出版日期 | Textbook 2011 |
关键词 | Assmus–Mattson theorem; Duursma zeta function; Reed–Muller code; SAGE; algebraic coding theory; algebraic |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-8176-8256-9 |
isbn_ebook | 978-0-8176-8256-9Series ISSN 2296-5009 Series E-ISSN 2296-5017 |
issn_series | 2296-5009 |
copyright | Springer Science+Business Media, LLC 2011 |