rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Introduction to cryptography
  title info:
    title: MATHnetBASE
  name:
    name part: Padhye, Sahadeo
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Sahu, Rajeev A.
    role:
      role term: author.
  name:
    name part: Saraswat, Vishal
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2018
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 251 pages) : illustrations
  abstract: "Electronic communication and financial transactions have assumed massive proportions today. But they comprise high risks too. Achieving cyber security has become a top priority, and has become one of the most crucial areas of study and research in IT.?This book introduces readers to perhaps the most effective tool in achieving a secure environment, i.e. cryptography. Students who have elementary knowledge of mathematics, will be introduced to mathematical notions relevant to cryptography, and the design and analysis of the cryptographic schemes. More advanced students who have already a background of algebra, number theory, probability and algorithms; will be able to review the applications of secure systems and will be introduced to cryptographic primitives and current research, besides being exposed to scope of future research addressing the open problems in related area. This book gives more solved examples than most books on the subject, it includes state of the art topics and discusses the scope of future research."--Provided by publisher.
  table of contents: Notation Types of algorithm Complexity Classes Exercise Classical Cryptosystems Classification of Classical Cryptosystem Block Cipher Stream Cipher Cryptanalysis of Cryptosystems Exercise Block Ciphers Introduction Modes of Operation Padding Design Considerations Data Encryption Standard Advanced Encryption Standard Exercise Hash Function Compression and Hash Functions Hash function for cryptography Random Oracle Model Cryptographic Hash Functions Exercise Public Key Cryptosystem Introduction Diffie-Hellman Key Exchange Protocol RSA Cryptosystem Rabin Cryptosystem ElGamal Cryptosystem Elliptic Curve Cryptosystem Exercises Digital Signature Formal Definitions Attack Goals for Digital.
  table of contents: Cover; Title Page; Copyright Page; Dedication; Foreword; Preface; Table of Contents; 1 Overview of Cryptography; 1.1 Introduction; 1.2 Goals of Cryptography; 1.3 Classification of Cryptosystem; 1.4 Practically Useful Cryptosystem; 1.4.1 Confusion and Diffusion; 1.5 Cryptanalysis; 1.5.1 Types of Attackers; 1.5.2 Types of Attacks; 1.5.3 Security Notions; 2 Basic Algebra; 2.1 Group; 2.2 Ring; 2.3 Field; 2.3.1 Finite Field; 2.3.2 Field Construction; 2.3.3 Field Construction using Irreducible Polynomial; 2.3.4 Galois Field GF(2n); 2.3.4.1 Integer Representation of Finite Field Elements.
  table of contents: 2.3.5 Field Construction using Generator2.4 Exercises; 3 Number Theory; 3.1 Prime Numbers; 3.2 Cardinality of Primes; 3.3 Extended Euclidean Algorithm; 3.4 Congruences; 3.4.1 Solving Linear Congruence in Zn; 3.4.2 Chinese Remainder Theorem (CRT); 3.5 Integer Factorization Problem; 3.5.1 Trial Division Method; 3.5.2 Fermat's Method; 3.5.3 Pollard's p -- 1 Method; 3.5.4 Pollard's Rho Method; 3.5.5 Quadratic Sieve; 3.5.6 Number Field Sieve; 3.6 Primality Testing; 3.6.1 Sieve of Eratosthenes; 3.6.2 Divisibility Algorithm; 3.6.3 AKS Algorithm; 3.6.4 Fermat Test; 3.6.5 Miller-Rabin Algorithm.
  table of contents: 3.7 Quadratic Congruence3.7.1 Quadratic Residue or Non-Residue; 3.7.2 Legendre Symbol and Jacobi Symbol; 3.8 Exponentiation and Logarithm; 3.8.1 Square and Multiply Method; 3.9 Discrete Logarithm Problem; 3.9.1 Shank's Baby-Step Giant-Step Algorithm; 3.9.2 Pollard's Rho Algorithm; 3.9.3 Pohlig-Hellman Algorithm; 3.9.4 Index Calculus Algorithm; 3.10 Exercises; 4 Probability and Perfect Secrecy; 4.1 Basic Concept of Probability; 4.2 Birthday Paradox; 4.3 Perfect Secrecy; 4.4 Vernam One-Time Pad; 4.5 Random Number Generation; 4.6 Pseudo-random Number Generator; 4.7 Exercises; 5 Complexity Theory.
  table of contents: 5.1 Running Time and Size of Input5.2 Big-O Notation; 5.2.1 Big-O and Growth Rate; 5.2.2 Properties of Order Notation; 5.3 Types of Algorithm; 5.4 Complexity Classes; 5.5 Exercises; 6 Classical Cryptosystems; 6.1 Classification of Classical Cryptosystem; 6.2 Block Cipher; 6.2.1 Substitution Cipher; 6.2.1.1 Shift Cipher; 6.2.1.2 Affine Cipher; 6.2.1.3 Substitution Cipher; 6.2.1.4 Vigenere Cipher; 6.2.1.5 Hill Cipher; 6.2.2 Transposition Cipher; 6.2.2.1 Scytale; 6.2.2.2 The Rail Fence Cipher; 6.3 Stream Cipher; 6.3.1 Synchronous Stream Cipher.
  table of contents: 6.3.1.1 Vigenere Cipher as Synchronous Stream Cipher6.3.2 Linear Feedback Shift Register (LFSR); 6.3.3 Non-Synchronous Stream Cipher; 6.3.3.1 Autokey Cipher; 6.4 Cryptanalysis of Cryptosystems; 6.4.1 Frequency Analysis; 6.4.2 Cryptanalysis of Affine Cipher; 6.4.3 Cryptanalysis of Substitution Cipher; 6.4.4 Cryptanalysis of Vigenere Cipher; 6.4.5 Cryptanalysis of Hill Cipher; 6.4.6 Cryptanalysis of LFSR Stream Cipher; 6.5 Exercises; 7 Block Ciphers; 7.1 Introduction; 7.1.1 Notations; 7.2 Modes of Operation; 7.2.1 Electronic Code Book (ECB); 7.2.1.1 ECB Properties.
  note: Sahadeo Padhye, Rajeev A. Sahu, Vishal Saraswat.
  note: "A science publishers book."
  subject:
    topic: Cryptography
    topic: Mathematics
  subject:
    topic: Number theory
  subject:
    topic: Algorithms
  subject:
    topic: SCIENCE
    topic: System Theory
  subject:
    topic: TECHNOLOGY & ENGINEERING
    topic: Operations Research
  subject:
    topic: COMPUTERS / Cryptography
  subject:
    topic: MATHEMATICS / Combinatorics
  classification: QA268 .P33 2018eb
  classification: 003/.54
  identifier: 9781315114590
  identifier: 1315114593
  identifier: 9781351628150
  identifier: 1351628151
  identifier: 9781351628136
  identifier: 1351628135
  identifier: 9781351628129
  identifier: 1351628127
  identifier: 9781138071537
  identifier: 1138071536
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCoLC-P
    record creation date: 180921
    record change date: 20220613175924.1
    record identifier: in00004581534
    language of cataloging:
      language term: eng