Introduction to Cryptography with Open-Source Software

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A01=Alasdair McAndrew
Advanced Encryption Standard
algebraic cryptography
Alice's Private Key
Alice's Public Key
Alice’s Private Key
Alice’s Public Key
Author_Alasdair McAndrew
Block Cipher
block ciphers
Category=PBCD
Category=PBD
Category=PBV
Category=UBL
Category=UR
Category=URY
Category=UY
Chinese Remainder Theorem
computer security
cryptanalysis techniques
cryptographic hash functions
Cryptography
Data Encryption Standard
digital signature
Discrete Logarithm
Discrete Logarithm Problem
El Gamal
El Gamal Cryptosystem
Elliptic Curve
Elliptic Curve Cryptosystems
Elliptic curves
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Extended Euclidean Algorithm
Finite Field
finite fields
information theory
Key Stream
knapsack problems
Mod 13
modular arithmetic
multi-party computation applications
number theory
Open-Source Software
Primitive Root
Primitive Root Modulo
Private Key
Public Key
Public Key Cryptosystem
public-key cryptosystems
Quadratic Residue
Quadratic Residue Modulo
random number generation
Round Keys
RSA Cryptosystem
S Box
Sage computer algebra system
secret-key cryptosystems
Stream Cipher
stream ciphers
symmetric encryption
voting security systems
zero-knowledge protocols

Product details

  • ISBN 9781439825709
  • Weight: 1020g
  • Dimensions: 156 x 234mm
  • Publication Date: 24 May 2011
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Once the privilege of a secret few, cryptography is now taught at universities around the world. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. The author, a noted educator in the field, provides a highly practical learning experience by progressing at a gentle pace, keeping mathematics at a manageable level, and including numerous end-of-chapter exercises.

Focusing on the cryptosystems themselves rather than the means of breaking them, the book first explores when and how the methods of modern cryptography can be used and misused. It then presents number theory and the algorithms and methods that make up the basis of cryptography today. After a brief review of "classical" cryptography, the book introduces information theory and examines the public-key cryptosystems of RSA and Rabin’s cryptosystem. Other public-key systems studied include the El Gamal cryptosystem, systems based on knapsack problems, and algorithms for creating digital signature schemes.

The second half of the text moves on to consider bit-oriented secret-key, or symmetric, systems suitable for encrypting large amounts of data. The author describes block ciphers (including the Data Encryption Standard), cryptographic hash functions, finite fields, the Advanced Encryption Standard, cryptosystems based on elliptical curves, random number generation, and stream ciphers. The book concludes with a look at examples and applications of modern cryptographic systems, such as multi-party computation, zero-knowledge proofs, oblivious transfer, and voting protocols.

Alasdair McAndrew is a senior lecturer in the School of Engineering and Science at Victoria University in Melbourne, Australia.

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