Algebraic function fields and codes / (Record no. 20395)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02666nam a22002295a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000004892 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224604.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090216s2008 nyu | 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540564896 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040129 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201011230957 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200902161128 |
| Level of effort used to assign classification | Noora |
| Level of effort used to assign subject headings | 200902161128 |
| Level of effort used to assign classification | Noora |
| -- | 200902161121 |
| -- | Noora |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA341 |
| Item number | .C483 1985 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Stichtenoth, Henning. |
| 9 (RLIN) | 44236 |
| 245 10 - TITLE STATEMENT | |
| Title | Algebraic function fields and codes / |
| Statement of responsibility, etc. | Henning Stichtenoth. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 1993 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | p. cm. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Foundations of the Theory of Algebraic Function Fiels.- 2. Geometric Goppa Codes.- 3. Extensions of Algebraic Function Fields.- 4. Differentials of Algebraic Function Fields.- 5. Algebraic Function Fields over Finite Constant Fields.- 6. Examples of Algebraic Function Fields.- 7. More about Geometric Goppy Codes.- 8. Subfield Subcodes and Trace Codes.- Appendix A. Field Theory.- Appendix B. Algebraic Curves and Algebraic Function Fields.- Bibliography.- List of Notations.- Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book has two objectives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition of the theory of algebraic function fields. The topics include the Riemann-Roch theorem, algebraic extensions of function fields, ramifications theory and differentials. Particular emphasis is placed on function fields over a finite constant field, leading into zeta functions and the Hasse-Weil theorem. Numerous examples illustrate the general theory. Error-correcting codes are in widespread use for the reliable transmission of information. Perhaps the most fascinating of all the ties that link the theory of these codes to mathematics is the construction by V.D. Goppa, of powerful codes using techniques borrowed from algebraic geometry. Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes along these lines. The codes, their parameters and links with traditional codes such as classical Goppa, Peed-Solomon and BCH codes are treated at an early stage of the book. Subsequent chapters include a decoding algorithm for these codes as well as a discussion of their subfield subcodes and trace codes. Stichtenoth's book will be very useful to students and researchers in algebraic geometry and coding theory and to computer scientists and engineers interested in information transmission. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebraic Functions |
| 9 (RLIN) | 44237 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebraic fields |
| 9 (RLIN) | 44238 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA341 .C483 1985 | 11687 | 21/12/2024 | 1 | 21/12/2024 | Books |