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Commutative Algebra Methods for Coding Theory

✍ Scribed by Ştefan Ovidiu I. TohΔƒneanu

Publisher
De Gruyter
Year
2024
Tongue
English
Leaves
276
Series
De Gruyter Studies in Mathematics; 97
Category
Library
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✦ Synopsis

This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90’s, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.

✦ Table of Contents

Dedication
Contents
1 Introduction
2 Preliminaries
3 Ideals generated by fold products of linear forms
4 Fat points defining linear codes
5 Evaluation codes
6 Additional topics
Bibliography
Index of notations
Index

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