Finite fields and applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society, Mathematics Advanced Study Semesters
[2007]
|
| Schriftenreihe: | Student mathematical library
Volume 41 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 175 Seiten Diagramme 22 cm |
| ISBN: | 9780821844182 |
Internformat
MARC
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| 100 | 1 | |a Mullen, Gary L. |d 1947- |e Verfasser |0 (DE-588)123964059 |4 aut | |
| 245 | 1 | 0 | |a Finite fields and applications |c Gary L. Mullen ; Carl Mummert |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society, Mathematics Advanced Study Semesters |c [2007] | |
| 264 | 4 | |c © 2007 | |
| 300 | |a IX, 175 Seiten |b Diagramme |c 22 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Student mathematical library |v Volume 41 | |
| 650 | 4 | |a Codage | |
| 650 | 7 | |a Computabilidade e complexidade |2 larpcal | |
| 650 | 7 | |a Corpos finitos |2 larpcal | |
| 650 | 4 | |a Corps finis | |
| 650 | 7 | |a Criptologia |2 larpcal | |
| 650 | 4 | |a Cryptographie | |
| 650 | 7 | |a Teoria dos códigos |2 larpcal | |
| 650 | 7 | |a Álgebra |2 larpcal | |
| 650 | 4 | |a Finite fields (Algebra) | |
| 650 | 4 | |a Coding theory | |
| 650 | 4 | |a Cryptography | |
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Datensatz im Suchindex
| _version_ | 1804137664456163328 |
|---|---|
| adam_text | Contents
Foreword: MASS and
REU
at
Penn
State University
v
Preface
vii
1
1
1
6
15
19
26
36
37
43
43
43
59
66
71
75
75
iii
Chapter
1.
Finite Fields
§1·
Introduction
§2-
Finite fields
§3-
Extension fields
§4-
Trace and norm functions
§5.
Bases
§6-
Polynomials
§7.
Notes
§8-
Exercises
Chapter
2.
Combinatorics
§1·
Introduction
§2-
Latin squares
§3.
Affine
and
projective
planes
§4.
Block designs
§5-
Hadamard
matrices
§6-
Notes
§7-
Exercises
iv
Contents
Chapter
3.
Algebraic Coding Theory
79
§1.
Introduction
79
§2.
Basic properties of codes
81
§3.
Bounds for parameters of codes
88
§4.
Decoding methods
91
§5.
Code constructions
94
§6.
Codes and combinatorial designs
101
§7.
Codes and latin squares
104
§8.
Notes
106
§9.
Exercises
106
Chapter
4.
Cryptography
109
§1.
Introduction to cryptography
110
§2.
Symmetric key cryptography
112
§3.
Public key cryptography
114
§4.
Threshold schemes
126
§5.
Notes
128
§6.
Exercises
129
Appendix A. Background in Number Theory
and Abstract Algebra
133
§1.
Number theory
133
§2.
Groups
135
§3.
Rings and fields
137
§4.
Homomorphisms
140
§5.
Polynomials and splitting fields
141
§6.
Vector spaces
146
§7.
Notes
150
§8.
Exercises
150
Appendix B. Hints for Selected Exercises
155
References
165
Index
171
|
| adam_txt |
Contents
Foreword: MASS and
REU
at
Penn
State University
v
Preface
vii
1
1
1
6
15
19
26
36
37
43
43
43
59
66
71
75
75
iii
Chapter
1.
Finite Fields
§1·
Introduction
§2-
Finite fields
§3-
Extension fields
§4-
Trace and norm functions
§5.
Bases
§6-
Polynomials
§7.
Notes
§8-
Exercises
Chapter
2.
Combinatorics
§1·
Introduction
§2-
Latin squares
§3.
Affine
and
projective
planes
§4.
Block designs
§5-
Hadamard
matrices
§6-
Notes
§7-
Exercises
iv
Contents
Chapter
3.
Algebraic Coding Theory
79
§1.
Introduction
79
§2.
Basic properties of codes
81
§3.
Bounds for parameters of codes
88
§4.
Decoding methods
91
§5.
Code constructions
94
§6.
Codes and combinatorial designs
101
§7.
Codes and latin squares
104
§8.
Notes
106
§9.
Exercises
106
Chapter
4.
Cryptography
109
§1.
Introduction to cryptography
110
§2.
Symmetric key cryptography
112
§3.
Public key cryptography
114
§4.
Threshold schemes
126
§5.
Notes
128
§6.
Exercises
129
Appendix A. Background in Number Theory
and Abstract Algebra
133
§1.
Number theory
133
§2.
Groups
135
§3.
Rings and fields
137
§4.
Homomorphisms
140
§5.
Polynomials and splitting fields
141
§6.
Vector spaces
146
§7.
Notes
150
§8.
Exercises
150
Appendix B. Hints for Selected Exercises
155
References
165
Index
171 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Mullen, Gary L. 1947- Mummert, Carl 1978- |
| author_GND | (DE-588)123964059 (DE-588)136243088 |
| author_facet | Mullen, Gary L. 1947- Mummert, Carl 1978- |
| author_role | aut aut |
| author_sort | Mullen, Gary L. 1947- |
| author_variant | g l m gl glm c m cm |
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| callnumber-label | QA247 |
| callnumber-raw | QA247.3 |
| callnumber-search | QA247.3 |
| callnumber-sort | QA 3247.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 SK 170 |
| ctrlnum | (OCoLC)156975411 (DE-599)BVBBV023324237 |
| dewey-full | 512.7/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/4 |
| dewey-search | 512.7/4 |
| dewey-sort | 3512.7 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
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| indexdate | 2024-07-09T21:15:53Z |
| institution | BVB |
| isbn | 9780821844182 |
| language | English |
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| publishDate | 2007 |
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| spelling | Mullen, Gary L. 1947- Verfasser (DE-588)123964059 aut Finite fields and applications Gary L. Mullen ; Carl Mummert Providence, Rhode Island American Mathematical Society, Mathematics Advanced Study Semesters [2007] © 2007 IX, 175 Seiten Diagramme 22 cm txt rdacontent n rdamedia nc rdacarrier Student mathematical library Volume 41 Codage Computabilidade e complexidade larpcal Corpos finitos larpcal Corps finis Criptologia larpcal Cryptographie Teoria dos códigos larpcal Álgebra larpcal Finite fields (Algebra) Coding theory Cryptography Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Kryptologie (DE-588)4033329-2 gnd rswk-swf Galois-Feld (DE-588)4155896-0 gnd rswk-swf Melbourne (DE-588)4038526-7 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 s Kryptologie (DE-588)4033329-2 s Galois-Feld (DE-588)4155896-0 s DE-604 Melbourne (DE-588)4038526-7 g 1\p DE-604 Mummert, Carl 1978- Verfasser (DE-588)136243088 aut Erscheint auch als Online-Ausgabe 978-1-4704-2150-2 Student mathematical library Volume 41 (DE-604)BV013184751 41 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016508281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mullen, Gary L. 1947- Mummert, Carl 1978- Finite fields and applications Student mathematical library Codage Computabilidade e complexidade larpcal Corpos finitos larpcal Corps finis Criptologia larpcal Cryptographie Teoria dos códigos larpcal Álgebra larpcal Finite fields (Algebra) Coding theory Cryptography Codierungstheorie (DE-588)4139405-7 gnd Kryptologie (DE-588)4033329-2 gnd Galois-Feld (DE-588)4155896-0 gnd |
| subject_GND | (DE-588)4139405-7 (DE-588)4033329-2 (DE-588)4155896-0 (DE-588)4038526-7 |
| title | Finite fields and applications |
| title_auth | Finite fields and applications |
| title_exact_search | Finite fields and applications |
| title_exact_search_txtP | Finite fields and applications |
| title_full | Finite fields and applications Gary L. Mullen ; Carl Mummert |
| title_fullStr | Finite fields and applications Gary L. Mullen ; Carl Mummert |
| title_full_unstemmed | Finite fields and applications Gary L. Mullen ; Carl Mummert |
| title_short | Finite fields and applications |
| title_sort | finite fields and applications |
| topic | Codage Computabilidade e complexidade larpcal Corpos finitos larpcal Corps finis Criptologia larpcal Cryptographie Teoria dos códigos larpcal Álgebra larpcal Finite fields (Algebra) Coding theory Cryptography Codierungstheorie (DE-588)4139405-7 gnd Kryptologie (DE-588)4033329-2 gnd Galois-Feld (DE-588)4155896-0 gnd |
| topic_facet | Codage Computabilidade e complexidade Corpos finitos Corps finis Criptologia Cryptographie Teoria dos códigos Álgebra Finite fields (Algebra) Coding theory Cryptography Codierungstheorie Kryptologie Galois-Feld Melbourne |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016508281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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