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110823s2011 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9780817682569 |
| -- |
978-0-8176-8256-9 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
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| Classification number |
Q350-390 |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
|---|
| Classification number |
QA10.4 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
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| Classification number |
519 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
|---|
| Personal name |
Joyner, David. |
| Relator term |
author. |
| 245 10 - MENCIÓN DE TITULO |
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| Title |
Selected Unsolved Problems in Coding Theory |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
by David Joyner, Jon-Lark Kim. |
| 250 ## - MENCIÓN DE EDICIÓN |
|---|
| Edition statement |
1. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Boston : |
| Name of producer, publisher, distributor, manufacturer |
Birkhäuser Boston, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2011. |
| 300 ## - DESCRIPCIÓN FÍSICA |
|---|
| Extent |
XII, 248p. 17 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
|---|
| Series statement |
Applied and Numerical Harmonic Analysis |
| 505 0# - NOTA DE CONTENIDO |
|---|
| Formatted contents note |
Preface -- Background -- Codes and Lattices -- Kittens and Blackjack -- RH and Coding Theory -- Hyperelliptic Curves and QR Codes -- Codes from Modular Curves -- Appendix -- Bibliography -- Index. |
| 520 ## - NOTA DE RESUMEN, ETC. |
|---|
| Summary, etc. |
Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that continue to exist in coding theory. A well-established and still highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its frequent use in a range of contexts—the first close-up pictures of the surface of Mars, taken by the NASA spacecraft Mariner 9, were transmitted back to Earth using a Reed–Muller code—the subject contains interesting problems that have to date resisted solution by some of the most prominent mathematicians of recent decades. Employing SAGE—a free open-source mathematics software system—to illustrate their ideas, the authors begin by providing background on linear block codes and introducing some of the special families of codes explored in later chapters, such as quadratic residue and algebraic-geometric codes. Also surveyed is the theory that intersects self-dual codes, lattices, and invariant theory, which leads to an intriguing analogy between the Duursma zeta function and the zeta function attached to an algebraic curve over a finite field. The authors then examine a connection between the theory of block designs and the Assmus–Mattson theorem and scrutinize the knotty problem of finding a non-trivial estimate for the number of solutions over a finite field to a hyperelliptic polynomial equation of "small" degree, as well as the best asymptotic bounds for a binary linear block code. Finally, some of the more mysterious aspects relating modular forms and algebraic-geometric codes are discussed. Selected Unsolved Problems in Coding Theory is intended for graduate students and researchers in algebraic coding theory, especially those who are interested in finding current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assumed. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study. |
| 596 ## - |
|---|
| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Coding theory. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Geometry, algebraic. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Number theory. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Information and Communication, Circuits. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Coding and Information Theory. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Signal, Image and Speech Processing. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Applications of Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Number Theory. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Algebraic Geometry. |
| 700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL |
|---|
| Personal name |
Kim, Jon-Lark. |
| Relator term |
author. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9780817682552 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Applied and Numerical Harmonic Analysis |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
|---|
| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-8256-9">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-8256-9</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
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| Koha item type |
Libro Electrónico |
