9780131862395

Introduction to Cryptography with Coding Theory

by ;
  • ISBN13:

    9780131862395

  • ISBN10:

    0131862391

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 7/15/2005
  • Publisher: Pearson

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Summary

With its conversational tone and practical focus, this text mixes applied and theoretical aspects for a solid introduction to cryptography and security, including the latest significant advancements in the field. Assumes a minimal background. The level of math sophistication is equivalent to a course in linear algebra. Presents applications and protocols where cryptographic primitives are used in practice, such as SET and SSL. Provides a detailed explanation of AES, which has replaced Feistel-based ciphers (DES) as the standard block cipher algorithm. Includes expanded discussions of block ciphers, hash functions, and multicollisions, plus additional attacks on RSA to make readers aware of the strengths and shortcomings of this popular scheme. For engineers interested in learning more about cryptography.

Table of Contents

Preface xi
Overview of Cryptography and Its Applications
1(11)
Secure Communications
2(7)
Cryptographic Applications
9(3)
Classical Cryptosystems
12(51)
Shift Ciphers
13(1)
Affine Ciphers
14(2)
The Vigenere Cipher
16(8)
Substitution Ciphers
24(3)
Sherlock Holmes
27(3)
The Playfair and ADFGX Ciphers
30(4)
Block Ciphers
34(4)
Binary Numbers and ASCII
38(1)
One-Time Pads
39(2)
Pseudo-random Bit Generation
41(2)
LFSR Sequences
43(7)
Enigma
50(5)
Exercises
55(4)
Computer Problems
59(4)
Basic Number Theory
63(50)
Basic Notions
63(6)
Solving ax + by = d
69(1)
Congruences
70(6)
The Chinese Remainder Theorem
76(2)
Modular Exponentiation
78(1)
Fermat and Euler
79(4)
Primitive Roots
83(2)
Inverting Matrices Mod n
85(1)
Square Roots Mod n
86(2)
Legendre and Jacobi Symbols
88(5)
Finite Fields
93(9)
Continued Fractions
102(2)
Exercises
104(7)
Computer Problems
111(2)
The Data Encryption Standard
113(38)
Introduction
113(1)
A Simplified DES-Type Algorithm
114(4)
Differential Cryptanalysis
118(5)
DES
123(8)
Modes of Operation
131(8)
Breaking DES
139(4)
Meet-in-the-Middle Attacks
143(1)
Password Security
144(2)
Exercises
146(3)
Computer Problems
149(2)
The Advanced Encryption Standard: Rijndael
151(13)
The Basic Algorithm
152(2)
The Layers
154(4)
Decryption
158(3)
Design Considerations
161(1)
Exercises
162(2)
The RSA Algorithm
164(37)
The RSA Algorithm
164(5)
Attacks on RSA
169(7)
Primality Testing
176(5)
Factoring
181(6)
The RSA Challenge
187(2)
An Application to Treaty Verification
189(1)
The Public Key Concept
189(3)
Exercises
192(5)
Computer Problems
197(4)
Discrete Logarithms
201(17)
Discrete Logarithms
201(1)
Computing Discrete Logs
202(7)
Bit Commitment
209(1)
Diffie-Hellman Key Exchange
210(2)
The ElGamal Public Key Cryptosystem
212(2)
Exercises
214(2)
Computer Problems
216(2)
Hash Functions
218(26)
Hash Functions
218(4)
A Simple Hash Example
222(2)
The Secure Hash Algorithm
224(5)
Birthday Attacks
229(3)
Multicollisions
232(3)
The Random Oracle Model
235(3)
Using Hash Functions to Encrypt
238(1)
Exercises
239(3)
Computer Problems
242(2)
Digital Signatures
244(12)
RSA Signatures
245(1)
The ElGamal Signature Scheme
246(3)
Hashing and Signing
249(1)
Birthday Attacks on Signatures
250(1)
The Digital Signature Algorithm
251(1)
Exercises
252(3)
Computer Problems
255(1)
Security Protocols
256(31)
Intruders-in-the-Middle and Impostors
257(2)
Key Distribution
259(7)
Kerberos
266(4)
Public Key Infrastructures (PKI)
270(1)
X.509 Certificates
271(6)
Pretty Good Privacy
277(3)
SSL and TLS
280(3)
Secure Electronic Transaction
283(2)
Exercises
285(2)
Digital Cash
287(9)
Digital Cash
287(7)
Exercises
294(2)
Secret Sharing Schemes
296(11)
Secret Splitting
296(1)
Threshold Schemes
297(6)
Exercises
303(2)
Computer Problems
305(2)
Games
307(9)
Flipping Coins over the Telephone
307(2)
Poker over the Telephone
309(5)
Exercises
314(2)
Zero-Knowledge Techniques
316(9)
The Basic Setup
316(3)
The Feige-Fiat-Shamir Identification Scheme
319(2)
Exercises
321(4)
Information Theory
325(22)
Probability Review
326(2)
Entropy
328(5)
Huffman Codes
333(2)
Perfect Secrecy
335(3)
The Entropy of English
338(5)
Exercises
343(4)
Elliptic Curves
347(29)
The Addition Law
347(5)
Elliptic Curves Mod p
352(4)
Factoring with Elliptic Curves
356(4)
Elliptic Curves in Characteristic 2
360(3)
Elliptic Curve Cryptosystems
363(3)
Identity-Based Encryption
366(4)
Exercises
370(4)
Computer Problems
374(2)
Lattice Methods
376(16)
Lattices
376(1)
Lattice Reduction
377(5)
An Attack on RSA
382(3)
NTRU
385(5)
Exercises
390(2)
Error Correcting Codes
392(58)
Introduction
392(6)
Error Correcting Codes
398(4)
Bounds on General Codes
402(6)
Linear Codes
408(8)
Hamming Codes
416(1)
Golay Codes
417(9)
Cyclic Codes
426(6)
BCH Codes
432(8)
Reed-Solomon Codes
440(2)
The McEliece Cryptosystem
442(2)
Other Topics
444(1)
Exercises
445(4)
Computer Problems
449(1)
Quantum Techniques in Cryptography
450(17)
A Quantum Experiment
451(3)
Quantum Key Distribution
454(2)
Shor's Algorithm
456(10)
Exercises
466(1)
A Mathematica® Examples
467(28)
Getting Started with Mathematica
467(2)
Some Commands
469(1)
Examples for Chapter 2
470(7)
Examples for Chapter 3
477(3)
Examples for Chapter 6
480(7)
Examples for Chapter 8
487(1)
Examples for Chapter 12
487(1)
Examples for Chapter 13
488(2)
Examples for Chapter 16
490(5)
B Maple® Examples
495(32)
Getting Started with Maple
495(1)
Some Commands
496(2)
Examples for Chapter 2
498(7)
Examples for Chapter 3
505(4)
Examples for Chapter 6
509(8)
Examples for Chapter 8
517(1)
Examples for Chapter 12
518(1)
Examples for Chapter 13
519(2)
Examples for Chapter 16
521(6)
C Matlab® Examples
527(38)
Getting Started with Matlab
528(5)
Examples for Chapter 2
533(11)
Examples for Chapter 3
544(4)
Examples for Chapter 6
548(5)
Examples for Chapter 8
553(1)
Examples for Chapter 12
553(1)
Examples for Chapter 13
554(2)
Examples for Chapter 16
556(8)
D Suggestions for Further Reading
564
Bibliography 565(6)
Index 571

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