Commutative Algebra Methods for Coding Theory / / Ştefan Ovidiu I. Tohăneanu.

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 p...

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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2024]
©2024
Year of Publication:2024
Language:English
Series:De Gruyter Studies in Mathematics , 97
Online Access:
Physical Description:1 online resource (X, 266 p.)
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100 1 |a Tohăneanu, Ştefan Ovidiu I.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Commutative Algebra Methods for Coding Theory /  |c Ştefan Ovidiu I. Tohăneanu. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2024] 
264 4 |c ©2024 
300 |a 1 online resource (X, 266 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 97 
505 0 0 |t Frontmatter --   |t Contents --   |t 1 Introduction --   |t 2 Preliminaries --   |t 3 Ideals generated by fold products of linear forms --   |t 4 Fat points defining linear codes --   |t 5 Evaluation codes --   |t 6 Additional topics --   |t Bibliography --   |t Index of notations --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 03. Jul 2024) 
650 4 |a Bewertungscode. 
650 4 |a Dimension eines Ideals. 
650 4 |a Duale lineare Formen. 
650 4 |a Mindestabstand. 
653 |a Minimum distance, height of an ideal, dual linear forms, fat points, evaluation code, socle degree. 
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