ISBN13: | 9781482299809 |
ISBN10: | 1482299801 |
Binding: | Hardback |
No. of pages: | 538 pages |
Size: | 234x156 mm |
Weight: | 898 g |
Language: | English |
Illustrations: | 20 Illustrations, black & white |
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Mathematics in general
The basics of mathematics and mathematical logic
Combinatorics and graph theory
Taxonomy, systematics
Engineering in general
Energy industry
Computing's and information technology's impact on society
Environmental sciences
Media and information industry
Further readings in the field of technology
Discrete mathematics
Mathematics in general (charity campaign)
The basics of mathematics and mathematical logic (charity campaign)
Combinatorics and graph theory (charity campaign)
Taxonomy, systematics (charity campaign)
Engineering in general (charity campaign)
Energy industry (charity campaign)
Computing's and information technology's impact on society (charity campaign)
Environmental sciences (charity campaign)
Media and information industry (charity campaign)
Further readings in the field of technology (charity campaign)
Discrete mathematics (charity campaign)
Introduction to Coding Theory
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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.
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.
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.