Cryptological mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
Mathematical Association of America
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xiv, 199 Seiten Illustrationen, Diagramme |
| ISBN: | 0883857197 9780883857199 |
Internformat
MARC
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| 300 | |a xiv, 199 Seiten |b Illustrationen, Diagramme | ||
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| 650 | 4 | |a Cryptographie | |
| 650 | 4 | |a Cryptographie - Problèmes et exercices | |
| 650 | 7 | |a Geheime codes |2 gtt | |
| 650 | 7 | |a Geheimschrift |2 gtt | |
| 650 | 7 | |a Kryptologie |2 swd | |
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| 650 | 4 | |a Coding theory | |
| 650 | 4 | |a Cryptography |x Mathematics | |
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
CRYPTOLOGICAL MATHEMATICS
ROBERT EDWARD LEWAND GOUCHER COLLEGE BALTIMORE, MARYLAND
M
PUBLISHED AND DISTRIBUTED BY THE MATHEMATICAL ASSOCIATION OF AMERICA
IMAGE 2
CONTENTS
PREFACE XI
1 MONOALPHABETIC SUBSTITUTION CIPHERS 1
1.1 WELL-ORDERING AXIOM, PRINCIPLE OF MATHEMATICAL INDUCTION 2 THE
WELL-ORDERING AXIOM 2
THE PRINCIPLE OF MATHEMATICAL INDUCTION 3
EXERCISES 1.1 7
1.2 PRIME NUMBERS, DIVISION ALGORITHM, GREATEST COMMON DIVISOR 7
EXERCISES 1.2 15
1.3 RELATIVELY PRIME INTEGERS, FUNDAMENTAL THEOREM OF ARITHMETIC 16 THE
FUNDAMENTAL THEOREM OF ARITHMETIC 17
EXERCISES 1.3 18
1.4 MODULAR ARITHMETIC 19
EXERCISES 1.4 26
1.5 SIMPLE CIPHERS 27
THE CAST OF CHARACTERS 27
ADDITIVE CIPHERS 28
MULTIPLICATIVE CIPHERS 30
AFFINE CIPHERS 32
KEY WORD CIPHERS 33
EXERCISES 1.5 34
VII
IMAGE 3
VIII CRYPTOLOGICAL MATHEMATICS
1.6 CRYPTANALYSIS OF MONOALPHABETIC SUBSTITUTION CIPHERS 35
EXERCISES 1.6 41
1.7 PERSONALITIES 42
2 POLYALPHABETIC SUBSTITUTION CIPHERS 45
2.1 THE MULTIPLICATION PRINCIPLE 46
EXERCISES 2.1 50
2.2 PERMUTATIONS AND COMBINATIONS 51
EXERCISES 2.2 59
2.3 PROBABILITY 61
SOME DEFINITIONS 62
DETERMINING THE PROBABILITY OF AN EVENT 63
PROPERTIES OF PROBABILITY 67
EXERCISES 2.3 70
2.4 INDEPENDENT EVENTS AND EXPECTED NUMBER 72
INDEPENDENT EVENTS 72
EXPECTED NUMBER 74
EXERCISES 2.4 75
2.5 DISGUISING THE FREQUENCIES 76
CHANGING LETTERS TO NUMBERS 77
THE VIGENERE SQUARE 79
ENCIPHERING A MESSAGE USING THE VIGENERE SQUARE 79
DECIPHERING A MESSAGE USING THE VIGENERE SQUARE 81
DECRYPTING A MESSAGE USING THE VIGENERE SQUARE 82
THE FRIEDMAN TEST 86
DETERMINING THE LENGTH OF THE KEYWORD 89
EXERCISES 2.5 97
2.6 PERSONALITIES 99
3 POLYGRAPHIE SUBSTITUTION CIPHERS 103
3.1 ELEMENTARY POLYGRAPHIE SUBSTITUTION CIPHERS 104
EXERCISES 3.1 108
3.2 ELEMENTARY MATRIX THEORY 108
IDENTITIES AND INVERSES 113
LINEAR SYSTEMS OF EQUATIONS 116
GEOMETRICAL TRANSFORMATIONS 118
EXERCISES 3.2 121
3.3 HILL S SYSTEM 124
ENCIPHERING AND DECIPHERING A MESSAGE USING HILL S SYSTEM 124
CRYPTANALYSIS OF A MESSAGE ENCIPHERED USING HILL S SYSTEM 128 EXERCISES
3.3 137
3.4 PERSONALITIES 138
IMAGE 4
CONTENTS
IX
4 PUBLIC KEY CRYPTOGRAPHY 141
4.1
4.2
4.3
4.4
MORE NUMBER THEORY EXERCISES 4.1 THE RSA ALGORITHM GENERATION OF KEYS
EXCHANGING MESSAGES FREQUENTLY ASKED QUESTIONS EXERCISES 4.2 TWO
EXAMPLES
EXERCISES 4.3 OTHER LUUSTRATIONS OF PUBLIC KEY CRYPTOGRAPHY SIGNATURE
AUTHENTICATION HYBRID SYSTEMS USE RSA TO TRANSMIT THE KEY THE
DIFFIE-HELLMAN KEY EXCHANGE SYSTEM THE MASSEY-OMURA SYSTEM
EXERCISES 4.4 PERSONALITIES
142 150 150 151
151 154 159 160
170 171 171
172 172 173 174
177 178 4.5
APPENDIX A ASCII CODE 181
APPENDIX B TAXONOMY OF CRYPTOLOGY 183
APPENDIX C ANSWERS TO EVEN-NUMBERED PROBLEMS 185
|
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| id | DE-604.BV014550506 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:03:24Z |
| institution | BVB |
| isbn | 0883857197 9780883857199 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009893674 |
| oclc_num | 45467783 |
| open_access_boolean | |
| owner | DE-739 DE-11 |
| owner_facet | DE-739 DE-11 |
| physical | xiv, 199 Seiten Illustrationen, Diagramme |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Mathematical Association of America |
| record_format | marc |
| spelling | Lewand, Robert Verfasser (DE-588)1137575522 aut Cryptological mathematics Robert Edward Lewand Washington, DC Mathematical Association of America 2000 xiv, 199 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Criptologia larpcal Cryptographie Cryptographie - Problèmes et exercices Geheime codes gtt Geheimschrift gtt Kryptologie swd Matemática da computação larpcal Nombres, Théorie des Programmeren (computers) gtt Wiskundige modellen gtt Mathematik Coding theory Cryptography Mathematics Erscheint auch als Online-Ausgabe 978-1-4704-5833-1 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009893674&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lewand, Robert Cryptological mathematics Criptologia larpcal Cryptographie Cryptographie - Problèmes et exercices Geheime codes gtt Geheimschrift gtt Kryptologie swd Matemática da computação larpcal Nombres, Théorie des Programmeren (computers) gtt Wiskundige modellen gtt Mathematik Coding theory Cryptography Mathematics |
| title | Cryptological mathematics |
| title_auth | Cryptological mathematics |
| title_exact_search | Cryptological mathematics |
| title_full | Cryptological mathematics Robert Edward Lewand |
| title_fullStr | Cryptological mathematics Robert Edward Lewand |
| title_full_unstemmed | Cryptological mathematics Robert Edward Lewand |
| title_short | Cryptological mathematics |
| title_sort | cryptological mathematics |
| topic | Criptologia larpcal Cryptographie Cryptographie - Problèmes et exercices Geheime codes gtt Geheimschrift gtt Kryptologie swd Matemática da computação larpcal Nombres, Théorie des Programmeren (computers) gtt Wiskundige modellen gtt Mathematik Coding theory Cryptography Mathematics |
| topic_facet | Criptologia Cryptographie Cryptographie - Problèmes et exercices Geheime codes Geheimschrift Kryptologie Matemática da computação Nombres, Théorie des Programmeren (computers) Wiskundige modellen Mathematik Coding theory Cryptography Mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009893674&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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