A course in number theory and cryptography:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
New York, NY u.a.
New York, NY u.a.
1988
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| Edition: | 2. print. |
| Series: | Graduate texts in mathematics
114 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 208 S. |
| ISBN: | 3540965769 |
Staff View
MARC
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| 245 | 1 | 0 | |a A course in number theory and cryptography |c Neal Koblitz |
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Record in the Search Index
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| adam_text | Contents
Chapter I. Some Topics in Elementary Number Theory 1
§1. Time estimates for doing arithmetic 1
§2. Divisibility and the Euclidean algorithm 10
§3. Congruences 17
§4. Some applications to factoring 25
Chapter II. Finite Fields and Quadratic Residues 29
§1. Finite fields 31
§2. Quadratic residues and reciprocity 40
Chapter III. Cryptography 53
§1. Some simple cryptosystems 53
§2. Enciphering matrices 64
Chapter IV. Public Key 81
§1. The idea of public key cryptography 81
§2. RSA 88
§3. Discrete log 94
§4. Knapsack 107
Chapter V. Primality and Factoring 112
§1. Pseudoprimes 113
§2. The rho method 126
§3. Fermat factorization and factor bases 131
§4. The continued fraction method 143
Chapter VI. Elliptic Curves 150
§1. Basic facts 150
§2. Elliptic curve cryptosystems 161
§3. Elliptic curve factorisation 170
Answers to Exercises 180
Index 205
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| any_adam_object | 1 |
| author | Koblitz, Neal 1948- |
| author_GND | (DE-588)108974820 |
| author_facet | Koblitz, Neal 1948- |
| author_role | aut |
| author_sort | Koblitz, Neal 1948- |
| author_variant | n k nk |
| building | Verbundindex |
| bvnumber | BV013493861 |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)256184911 (DE-599)BVBBV013493861 |
| dewey-full | 512/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.7 |
| dewey-search | 512/.7 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. print. |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV013493861 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:47Z |
| institution | BVB |
| isbn | 3540965769 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009210014 |
| oclc_num | 256184911 |
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| owner_facet | DE-19 DE-BY-UBM DE-739 DE-188 |
| physical | 208 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | New York, NY u.a. |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Koblitz, Neal 1948- Verfasser (DE-588)108974820 aut A course in number theory and cryptography Neal Koblitz 2. print. New York, NY u.a. New York, NY u.a. 1988 208 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 114 Kryptologie - Zahlentheorie Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Kryptologie (DE-588)4033329-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 Kryptologie (DE-588)4033329-2 s Graduate texts in mathematics 114 (DE-604)BV000000067 114 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009210014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koblitz, Neal 1948- A course in number theory and cryptography Graduate texts in mathematics Kryptologie - Zahlentheorie Zahlentheorie (DE-588)4067277-3 gnd Kryptologie (DE-588)4033329-2 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4033329-2 (DE-588)4151278-9 |
| title | A course in number theory and cryptography |
| title_auth | A course in number theory and cryptography |
| title_exact_search | A course in number theory and cryptography |
| title_full | A course in number theory and cryptography Neal Koblitz |
| title_fullStr | A course in number theory and cryptography Neal Koblitz |
| title_full_unstemmed | A course in number theory and cryptography Neal Koblitz |
| title_short | A course in number theory and cryptography |
| title_sort | a course in number theory and cryptography |
| topic | Kryptologie - Zahlentheorie Zahlentheorie (DE-588)4067277-3 gnd Kryptologie (DE-588)4033329-2 gnd |
| topic_facet | Kryptologie - Zahlentheorie Zahlentheorie Kryptologie Einführung |
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