This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory.
By:
Jurgen Bierbrauer Imprint: CRC Press Country of Publication: United Kingdom Edition: 2nd edition Dimensions:
Height: 234mm,
Width: 156mm,
Weight: 453g ISBN:9781032477190 ISBN 10: 1032477199 Series:Discrete Mathematics and Its Applications Pages: 538 Publication Date:21 January 2023 Audience:
College/higher education
,
General/trade
,
Primary
,
ELT Advanced
Format:Paperback Publisher's Status: Active
An Elementary Introduction to Coding. The Concept of Coding. Binary Linear Codes. General Linear Codes. Reed-Solomon Codes. Recursive Construction I. Universal Hashing. Designs and the Binary Golay Code. Shannon Entropy. Asymptotic Results. 3-Dimensional Codes, Projective Planes. Summary and Outlook. The Theory of Codes and Their Applications. Subfield Codes and Trace Codes. Cyclic Codes. Recursive Constructions, Covering Radius. OA in Statistics and Computer Science. The Geometric Description of Codes. Additive Codes. Algebraic Curves. Introduction. Applications to Coding Theory.