Algebraic Geometry Modeling In Information Theory

by Edgar Martinez-moro

Overview

Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.

Product Details

ISBN-13:	9789814335751
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	02/04/2013
Series:	Series On Coding Theory And Cryptology , #8
Pages:	336
Product dimensions:	6.20(w) x 9.00(h) x 1.10(d)

Table of Contents

Preface v

Sage: A Basic Overview for Coding Theory and Cryptography D. Joyner 1

Aspects of Random Network Coding O. Geil C. Thomsen 47

Steganography from a Coding Theory Point of View C. Munuera 83

An Introduction to LDPC Codes I. Márquez-Corbella E. Martínez-Moro 129

Numerical Semigroups and Codes M. Bras-Amorós 167

Codes, Arrangements and Matroids R. Jurrius R. Pellikaan 219