Algebra for Secure and Reliable Communication Modeling

ISBN-13: 9781470410186 / Angielski

Mustapha Lahyane;Edgar Martinez-Moro

Opis

This volume contains the proceedings of the CIMPA Research School and Conference on Algebra for Secure and Reliable Communication Modeling, held from October 1-13, 2012, in Morelia, State of Michoacan, Mexico. The papers cover several aspects of the theory of coding theory and are gathered into three categories: general theory of linear codes, algebraic geometry and coding theory, and constacyclic codes over rings. The aim of this volume is to fill the gap between the theoretical part of algebraic geometry and the applications to problem solving and computational modeling in engineering, signal processing and information theory. This book is published in cooperation with Real Sociedad Matematica Espanola (RSME).

Spis treści

• Some applications of the Fourier transform in algebraic coding theory by J. A. Wood
• A semigroup approach to complete decoding by I. Marquez-Corbella and E. Martinez-Moro
• Grobner bases methods in coding theory by C. Carvalho
• An introduction to algebraic geometry codes by C. Munuera and W. Olaya-Leon
• Evaluation codes and plane valuations by J. I. Farran and C. Galindo
• Vector bundles with a view toward coding theory by B. L. De La Rosa Navarro, M. Lahyane, and E. Previato
• Algebraic-geometric codes from rational surfaces by B. L. De La Rosa Navarro and M. Lahyane
• Equivalence classes and structures of constacyclic codes over finite fields by B. Chen and H. Q. Dinh
• On repeated-root constacyclic codes of prime power length over polynomial residue rings by H. Q. Dinh