Commutative Algebra Methods for Coding Theory /

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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Tohăneanu, Ştefan Ovidiu I.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2024]
©2024
Year of Publication:2024
Language:English
Series:De Gruyter Studies in Mathematics , 97
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Physical Description:1 online resource (X, 266 p.)
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id 9783111214795
ctrlnum (DE-B1597)650070
collection bib_alma
record_format marc
spelling Tohăneanu, Ştefan Ovidiu I., author. aut http://id.loc.gov/vocabulary/relators/aut
Commutative Algebra Methods for Coding Theory / Ştefan Ovidiu I. Tohăneanu.
Berlin ; Boston : De Gruyter, [2024]
©2024
1 online resource (X, 266 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 97
Frontmatter -- 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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 03. Jul 2024)
Bewertungscode.
Dimension eines Ideals.
Duale lineare Formen.
Mindestabstand.
Minimum distance, height of an ideal, dual linear forms, fat points, evaluation code, socle degree.
EPUB 9783111215389
print 9783111212920
https://doi.org/10.1515/9783111214795
https://www.degruyter.com/isbn/9783111214795
Cover https://www.degruyter.com/document/cover/isbn/9783111214795/original
language English
format eBook
author Tohăneanu, Ştefan Ovidiu I.,
Tohăneanu, Ştefan Ovidiu I.,
spellingShingle Tohăneanu, Ştefan Ovidiu I.,
Tohăneanu, Ştefan Ovidiu I.,
Commutative Algebra Methods for Coding Theory /
De Gruyter Studies in Mathematics ,
Frontmatter --
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
author_facet Tohăneanu, Ştefan Ovidiu I.,
Tohăneanu, Ştefan Ovidiu I.,
author_variant ş o i t şoi şoit
ş o i t şoi şoit
author_role VerfasserIn
VerfasserIn
author_sort Tohăneanu, Ştefan Ovidiu I.,
title Commutative Algebra Methods for Coding Theory /
title_full Commutative Algebra Methods for Coding Theory / Ştefan Ovidiu I. Tohăneanu.
title_fullStr Commutative Algebra Methods for Coding Theory / Ştefan Ovidiu I. Tohăneanu.
title_full_unstemmed Commutative Algebra Methods for Coding Theory / Ştefan Ovidiu I. Tohăneanu.
title_auth Commutative Algebra Methods for Coding Theory /
title_alt Frontmatter --
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
title_new Commutative Algebra Methods for Coding Theory /
title_sort commutative algebra methods for coding theory /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2024
physical 1 online resource (X, 266 p.)
Issued also in print.
contents Frontmatter --
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
isbn 9783111214795
9783111215389
9783111212920
issn 0179-0986 ;
url https://doi.org/10.1515/9783111214795
https://www.degruyter.com/isbn/9783111214795
https://www.degruyter.com/document/cover/isbn/9783111214795/original
illustrated Not Illustrated
doi_str_mv 10.1515/9783111214795
work_keys_str_mv AT tohaneanustefanovidiui commutativealgebramethodsforcodingtheory
status_str n
ids_txt_mv (DE-B1597)650070
carrierType_str_mv cr
is_hierarchy_title Commutative Algebra Methods for Coding Theory /
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