Codes and curves:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2000
|
| Series: | Student mathematical library
7 : IAS, Park City mathematical subseries |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009057716&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XII, 68 S. |
| ISBN: | 082182628X |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | STUDENT MATHEMATICAL LIBRARY IAS/PARK CITY MATHEMATICAL SUBSERIES
VOLUME 7 CODES AND CURVES JUDY L. WALKER AMERICAN MATHEMATICAL SOCIETY
INSTITUTE FOR ADVANCED STUDY CONTENTS IAS/PARK CITY MATHEMATICS
INSTITUTE IX PREFACE XI CHAPTER 1. INTRODUCTION TO CODING THEORY 1 §1.1.
OVERVIEW 1 §1.2. CYCLIC CODES * 6 CHAPTER 2. BOUNDS ON CODES 9 §2.1.
BOUNDS 9 §2.2. ASYMPTOTIC BOUNDS 12 CHAPTER 3. ALGEBRAIC CURVES 17 §3.1.
ALGEBRAICALLY CLOSED FIELDS 17 §3.2. CURVES AND THE PROJECTIVE PLANE 18
CHAPTER 4. NONSINGULARITY AND THE GENUS 23 §4.1. NONSINGULARITY 23 §4.2.
GENUS 26 VII VIII CONTENTS CHAPTER 5. POINTS, FUNCTIONS, AND DIVISORS ON
CURVES 29 CHAPTER 6. ALGEBRAIC GEOMETRY CODES 37 CHAPTER 7. GOOD CODES
FROM ALGEBRAIC GEOMETRY 41 APPENDIX A. ABSTRACT ALGEBRA REVIEW 45 §A.L.
GROUPS 45 §A.2. RINGS, FIELDS, IDEALS, AND FACTOR RINGS 46 §A.3. VECTOR
SPACES 51 §A.4. HOMOMORPHISMS AND ISOMORPHISMS 52 APPENDIX B. FINITE
FIELDS 55 §B.L. BACKGROUND AND TERMINOLOGY 55 §B.2. CLASSIFICATION OF
FINITE FIELDS 56 §B.3. OPTIONAL EXERCISES 59 APPENDIX C. PROJECTS 61
§C.L. DUAL CODES AND PARITY CHECK MATRICES 61 §C.2. BCH CODES 61 §C3.
HAMMING CODES 62 §C.4. GOLAY CODES 62 §C.5. MDS CODES 62 §C.6. NONLINEAR
CODES 62 BIBLIOGRAPHY 65
|
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| discipline | Informatik Mathematik |
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| id | DE-604.BV013285690 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:44:32Z |
| institution | BVB |
| isbn | 082182628X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009057716 |
| oclc_num | 247647294 |
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| owner_facet | DE-355 DE-BY-UBR DE-703 DE-83 DE-188 DE-384 DE-20 |
| physical | XII, 68 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Student mathematical library |
| series2 | Student mathematical library |
| spellingShingle | Walker, Judy L. Codes and curves Student mathematical library Algebraische Kurve - Codierungstheorie Codierungstheorie (DE-588)4139405-7 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| subject_GND | (DE-588)4139405-7 (DE-588)4001165-3 |
| title | Codes and curves |
| title_auth | Codes and curves |
| title_exact_search | Codes and curves |
| title_full | Codes and curves Judy L. Walker |
| title_fullStr | Codes and curves Judy L. Walker |
| title_full_unstemmed | Codes and curves Judy L. Walker |
| title_short | Codes and curves |
| title_sort | codes and curves |
| topic | Algebraische Kurve - Codierungstheorie Codierungstheorie (DE-588)4139405-7 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| topic_facet | Algebraische Kurve - Codierungstheorie Codierungstheorie Algebraische Kurve |
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