Algebraic codes on lines, planes, and curves:
The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xix, 543 pages) |
| ISBN: | 9780511543401 |
| DOI: | 10.1017/CBO9780511543401 |
Internformat
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| 505 | 8 | |a Sequences and the one-dimensional Fourier transform -- The Fourier transform and cyclic codes -- The many decoding algorithms for Reed-Solomon codes -- Within or beyond the packing radius -- Arrays and the two-dimensional Fourier transform -- The Fourier transform and bicyclic codes -- Arrays and the algebra of bivariate polynomials -- Computation of minimal bases -- Curves, surfaces, and vector spaces -- Codes on curves and surfaces -- Other representations of codes on curves -- The many decoding algorithms for codes on curves | |
| 520 | |a The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Signal processing / Mathematics | |
| 650 | 4 | |a Coding theory | |
| 650 | 4 | |a Geometry, Algebraic | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Blahut, Richard E. |
| author_facet | Blahut, Richard E. |
| author_role | aut |
| author_sort | Blahut, Richard E. |
| author_variant | r e b re reb |
| building | Verbundindex |
| bvnumber | BV043943790 |
| classification_rvk | SK 240 |
| collection | ZDB-20-CBO |
| contents | Sequences and the one-dimensional Fourier transform -- The Fourier transform and cyclic codes -- The many decoding algorithms for Reed-Solomon codes -- Within or beyond the packing radius -- Arrays and the two-dimensional Fourier transform -- The Fourier transform and bicyclic codes -- Arrays and the algebra of bivariate polynomials -- Computation of minimal bases -- Curves, surfaces, and vector spaces -- Codes on curves and surfaces -- Other representations of codes on curves -- The many decoding algorithms for codes on curves |
| ctrlnum | (ZDB-20-CBO)CR9780511543401 (OCoLC)967686756 (DE-599)BVBBV043943790 |
| dewey-full | 621.38220151635 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.38220151635 |
| dewey-search | 621.38220151635 |
| dewey-sort | 3621.38220151635 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1017/CBO9780511543401 |
| format | Electronic eBook |
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| id | DE-604.BV043943790 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:20Z |
| institution | BVB |
| isbn | 9780511543401 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029352761 |
| oclc_num | 967686756 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xix, 543 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Blahut, Richard E. Verfasser aut Algebraic codes on lines, planes, and curves Richard E. Blahut Algebraic Codes on Lines, Planes, & Curves Cambridge Cambridge University Press 2008 1 online resource (xix, 543 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Sequences and the one-dimensional Fourier transform -- The Fourier transform and cyclic codes -- The many decoding algorithms for Reed-Solomon codes -- Within or beyond the packing radius -- Arrays and the two-dimensional Fourier transform -- The Fourier transform and bicyclic codes -- Arrays and the algebra of bivariate polynomials -- Computation of minimal bases -- Curves, surfaces, and vector spaces -- Codes on curves and surfaces -- Other representations of codes on curves -- The many decoding algorithms for codes on curves The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics Mathematik Signal processing / Mathematics Coding theory Geometry, Algebraic Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Algebraische Codierung (DE-588)4141834-7 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 s Algebraische Codierung (DE-588)4141834-7 s Fourier-Transformation (DE-588)4018014-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-77194-8 https://doi.org/10.1017/CBO9780511543401 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Blahut, Richard E. Algebraic codes on lines, planes, and curves Sequences and the one-dimensional Fourier transform -- The Fourier transform and cyclic codes -- The many decoding algorithms for Reed-Solomon codes -- Within or beyond the packing radius -- Arrays and the two-dimensional Fourier transform -- The Fourier transform and bicyclic codes -- Arrays and the algebra of bivariate polynomials -- Computation of minimal bases -- Curves, surfaces, and vector spaces -- Codes on curves and surfaces -- Other representations of codes on curves -- The many decoding algorithms for codes on curves Mathematik Signal processing / Mathematics Coding theory Geometry, Algebraic Codierungstheorie (DE-588)4139405-7 gnd Algebraische Codierung (DE-588)4141834-7 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4139405-7 (DE-588)4141834-7 (DE-588)4018014-1 |
| title | Algebraic codes on lines, planes, and curves |
| title_alt | Algebraic Codes on Lines, Planes, & Curves |
| title_auth | Algebraic codes on lines, planes, and curves |
| title_exact_search | Algebraic codes on lines, planes, and curves |
| title_full | Algebraic codes on lines, planes, and curves Richard E. Blahut |
| title_fullStr | Algebraic codes on lines, planes, and curves Richard E. Blahut |
| title_full_unstemmed | Algebraic codes on lines, planes, and curves Richard E. Blahut |
| title_short | Algebraic codes on lines, planes, and curves |
| title_sort | algebraic codes on lines planes and curves |
| topic | Mathematik Signal processing / Mathematics Coding theory Geometry, Algebraic Codierungstheorie (DE-588)4139405-7 gnd Algebraische Codierung (DE-588)4141834-7 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Mathematik Signal processing / Mathematics Coding theory Geometry, Algebraic Codierungstheorie Algebraische Codierung Fourier-Transformation |
| url | https://doi.org/10.1017/CBO9780511543401 |
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