Codes and curves (Record no. 36066)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03232nam a22002657a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250617132138.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250617b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789349750296 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NISER LIBRARY |
| Transcribing agency | NISER LIBRARY |
| Language of cataloging | eng |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.711 |
| Item number | WAL-C |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Walker, Judy L. |
| 245 10 - TITLE STATEMENT | |
| Title | Codes and curves |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | India : |
| Name of publisher, distributor, etc. | Universities Press, |
| Date of publication, distribution, etc. | 2025. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 68 p. : |
| Other physical details | ill. ; |
| Dimensions | 22 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Student mathematical library, |
| International Standard Serial Number | 1520-9121 ; |
| Volume/sequential designation | v. 7. |
| Series statement | IAS/Park City mathematical subseries |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 65-66). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | When information is transmitted, errors are likely to occur. This problem has become increasingly important as tremendous amounts of information are transferred electronically every day. Coding theory examines efficient ways of packaging data so that these errors can be detected, or even corrected.<br/><br/>The traditional tools of coding theory have come from combinatorics and group theory. Since the work of Goppa in the late 1970s, however, coding theorists have added techniques from algebraic geometry to their toolboxes. In particular, by re-interpreting the Reed-Solomon codes as coming from evaluating functions associated to divisors on the projective line, one can see how to define new codes based on other divisors or on other algebraic curves. For instance, using modular curves over finite fields, Tsfasman, Vladut, and Zink showed that one can define a sequence of codes with asymptotically better parameters than any previously known codes.<br/><br/>This book is based on a series of lectures the author gave as part of the IAS/Park City Mathematics Institute (Utah) program on arithmetic algebraic geometry. Here, the reader is introduced to the exciting field of algebraic geometric coding theory. Presenting the material in the same conversational tone of the lectures, the author covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the parameters of codes. Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors. The construction of algebraic geometric codes is given, and the Tsfasman-Vladut-Zink result mentioned above is discussed.<br/><br/>No previous experience in coding theory or algebraic geometry is required. Some familiarity with abstract algebra, in particular finite fields, is assumed. However, this material is reviewed in two appendices. There is also an appendix containing projects that explore other codes not covered in the main text.<br/><br/>This book is published in cooperation with IAS/Park City Mathematics Institute. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | Readership: Undergraduates in mathematics; mathematicians interested in coding theory or algebraic geometry and the connections between the two subjects. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Coding theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Curves, Algebraic. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of Contents |
| Uniform Resource Identifier | <a href="https://www.ams.org/bookstore/pspdf/stml-7-prev.pdf?_gl=1*tsw5gh*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxNDU4OTgkajUzJGwwJGgw">https://www.ams.org/bookstore/pspdf/stml-7-prev.pdf?_gl=1*tsw5gh*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxNDU4OTgkajUzJGwwJGgw</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Reviews |
| Uniform Resource Identifier | <a href="https://www.goodreads.com/book/show/6091359-codes-and-curves?ref=nav_sb_ss_2_16#CommunityReviews">https://www.goodreads.com/book/show/6091359-codes-and-curves?ref=nav_sb_ss_2_16#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Universal Decimal Classification |
| Koha item type | NBHM Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Universal Decimal Classification | SMS Library | SMS Library | 12/06/2025 | 519.711 WAL-C | N489 | 17/06/2025 | 17/06/2025 | NBHM Books |
