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Basic Mathematics of Security Systems

Given by Geoffrey C. Fox at CPS714 Computational Science Information Track on June 2 99. Foils prepared May 30 99

Note this material is not impacted by recent (Web) advances and so can be studied in "venerable" books such as:
Network Security: Private Communication in a Public World, Kaufman, Perlman and Speciner, Prentice Hall 1995
Web leads to important new applications of security mathematics and nifty pure mathematics is making progress in cracking longer and longer keys
We discuss Secret Key Technology and Public Key Technology with applications to
  • Transmission over insecure media
  • Digital signatures
  • Message Integrity


Table of Contents for Basic Mathematics of Security Systems

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1 Basic Mathematics of Security Systems CPS714 Summer 99 Lecture recorded May 30 99 for delivery June 2 99
2 Abstract of CPS714 Mathematics of Security Lecture
3 Introduction to Cryptography
4 Breaking an Encryption Scheme
5 Types of Cryptographic Function
6 Security Uses of Cryptography
7 Secret Key Cryptography
8 Uses of Secret Key Cryptography
9 Secret Key Authentication
10 Message Integrity with Secret Key Cryptography
11 Public Key Cryptography
12 Insecure Link Transmission with Public Key Cryptography
13 Authentication with public key Cryptography
14 Digital Signatures and Public Key Cryptography
15 Use of Digital Signatures with public key Cryptography
16 Hash and Message Digests in Detail
17 Some Math Behind Secret Key Cryptography
18 Some Math behind RSA Algorithm -I
19 Some Math behind RSA Algorithm -II
20 Combining Public and Secret Keys

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