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001 9781351628150
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040 _aOCoLC-P
_beng
_erda
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_cOCoLC-P
020 _a9781315114590
_q(electronic bk.)
020 _a1315114593
_q(electronic bk.)
020 _a9781351628150
020 _a1351628151
020 _a9781351628136
020 _a1351628135
020 _a9781351628129
020 _a1351628127
020 _z9781138071537
020 _z1138071536
024 8 _a10.1201/9781315114590
_2doi
035 _a(OCoLC)1053888392
_z(OCoLC)1033538088
035 _a(OCoLC-P)1053888392
050 4 _aQA268
_b.P33 2018eb
072 7 _aSCI
_x064000
_2bisacsh
072 7 _aTEC
_x029000
_2bisacsh
072 7 _aCOM
_x083000
_2bisacsh
072 7 _aMAT
_x036000
_2bisacsh
072 7 _aPBV
_2bicssc
082 0 4 _a003/.54
_223
100 1 _aPadhye, Sahadeo,
_eauthor.
_917084
245 1 0 _aIntroduction to cryptography /
_cSahadeo Padhye, Rajeev A. Sahu, Vishal Saraswat.
264 1 _aBoca Raton, FL :
_bCRC Press, Taylor & Francis Group,
_c[2018]
264 4 _c©2018
300 _a1 online resource (xv, 251 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _a"A science publishers book."
505 0 _aNotation 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.
505 0 _aCover; 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.
505 8 _a2.3.5 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.
505 8 _a3.7 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.
505 8 _a5.1 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.
505 8 _a6.3.1.1 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.
520 2 _a"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.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aCryptography
_xMathematics.
_917085
650 0 _aNumber theory.
_913208
650 0 _aAlgorithms.
_93390
650 7 _aSCIENCE
_xSystem Theory.
_2bisacsh
_917086
650 7 _aTECHNOLOGY & ENGINEERING
_xOperations Research.
_2bisacsh
_917087
650 7 _aCOMPUTERS / Cryptography
_2bisacsh
_910825
650 7 _aMATHEMATICS / Combinatorics
_2bisacsh
_910914
700 1 _aSahu, Rajeev A.,
_eauthor.
_917088
700 1 _aSaraswat, Vishal,
_eauthor.
_917089
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781351628150
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781315114590
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c71422
_d71422