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This book discusses limit domain wavelet and filter bank with their intersection with error-control coding and data encryption. It initiates limit domain wavelet transform theory proposing a general wavelet decomposition sequence defined in limit domain. Besides this, it introduces the first time application on code error correction and data security and imports a limit domain wavelet based on public key encryption technology.
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Finite field wavelet and cryptography and decoding (Version)(Chinese Edition)
Da: liu xing, Nanjing, JS, Cina
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paperback. Condizione: New. Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Paperback. Pub Date: 2012 Pages: 284 Publisher: Science Press title: finite field wavelet and its application in cryptography and decoding (version) List Price: 65.00 yuan Author: Farah Yilmaz (Faramarz Fekri) published society: Science Press Publication Date: June 1. 2012 ISBN: 9787030343833 words: Pages: 284 Edition: 1 Binding: Paperback: Weight: 522 g Editing recommended finite field wavelet and its cryptography and decoding application (version) as applied mathematics. cryptography. error control coding researchers in the field of reference books. and great value for practitioners engaged in the Password projects developed. Summary finite field wavelet and its application in cryptography and decoding (Version) as applied mathematics. cryptography. error control coding researchers in the field of reference for practitioners engaged in the Password projects developed large value. Contents Preface Figures Tables Algorithms Acronyms 1Introduction and Some Algea Preliminaries 1.1Notations 1.1.1Set Notation 1.1.2Matrix Notation 1.1.3Asymptotic Notation 1.1.4General Notation 1.2Abstract Algeaic Background 1.2.1Group 1.2.2Ring 1.2.3Field 1.2.4Irreducible and Primitive Polynomials 1.2. 5Construction of Extension Fields 1.2.6Module 1.2.7Algea 1.3Linear Algea Background 1.3.1Involution 1.3.2Sesquilinear Form 1.3.3 Unitary Matrix 1.3.4Paraunitary Matrix Finite-Field Wavelets 2Background Review and Motivation 2.1Wavelets for Discrete-Time Signals 2.2Cyclic Wavelet Transforms 2.3Review of Transforms over Finite Fields 2.3.1Discrete Fourier Transform over Finite Fields 2.3.2Base-Field Transforms over Finite Fields 2.3.3Related Work on Finite-Field Wavelets 3Finite-Field Wavelet Basis Functions 3.1Finite-Field Discrete-Time Basis 3.1.1Non -Degenerate Bilinear Form 3.1.2Orthonormal Wavelet Basis over Finite Fields 3.1.3Completeness of the Orthonormal Set 3.2Construction of Mother Wavelet and Scaling Function 3.3Summary 4Theory of Paraunitary Filter Banks over Fields of Characteristic 2 4.1Background Review 4.1.1Degree-1 Paraunitary Building Block over G [(2) 4.1.2Degree-2 Paraunitary Building Blocks over GF (2) 4.1.3Lapped Orthogonal Transforms over GF (2) 4.2Unitary Matrices over GF (2r) 4.3Paraunitary Matrices over Fields of Characteristic 2 4.3.1Properties of 2 x 2 Paraunitary Matrices over GF (2r) 4.4Factorization of Paraunitary Matrices over GF (2r) 4.4.1Degree-1 Paraunitary Building Block over GF (2r) 4.4.2Degree-2 Paraunitary Building Block over GF (2r) 4.4.3Degree-2 Paraunitary Building Block over GF (2r) 4.4.4 Factorization of 2 x 2 Paraunitary Matrices over GF (2r) 4.4.5Degree-M Paraunitary Building Block over GF (2r) 4.4.6Factorization of M x M Paraunitary Matrices over GF (2r) 4.5Summary Multivariate Cryptography 5Introduction 5.1Historical Background and Motivation 5.2RSA 5.3Elliptic Curve Cryptography 5.4Multivariate Cryptography 6Wavelet Self-Synchronizing Stream Cipher 6.1Background Review 6.1.1Classification of Stream Ciphers 6.2Wavelet Self-Synchronizing Stream Cipher (WSSC) 6.2.1Modified Wavelet Transform 6.2 .2 Basic Round of the WSSC 6.2.3Multiple Rounds of the WSSC 6.2.4Key Setup 6.3Cryptanalysis of the WSSC 6.3.1Interpolation Attack 6.3.2Algeaic Attacks 6.3.3Delta Attack 6.3.4Time-Memory Tradeoff Attack 6.3.5Divide-and-Conquer Attack 6.3 .6 Correlation and Distinguishing Attacks 6.4Performance Evaluation 6.5Summary 7Wavelet Block Cipher 7.1Background Review 7.1.1Feistel Cipher and Data Encryption Standard (DES) 7.1.2Advanced Encryption Standard (AES) 7.2Wavelet Block Cipher (WBC) 7.2.1Linear Components of the WBC 7.2 .2 Nonlinear Components of the WBC 7.3Two-Round Wavelet Block Cipher 7.3.1Key Setup 7.4Cryptanalysis of the WBC 7.4.1Differential and Linear Attacks 7.4.2Divide-and-Conquer Attack 7.4.3Interpolation Attack 7.4.4Delta Attack 7.5Performance Evaluation 7.6Summary 8Paraunitary Public-Key Cryptography 8.1Ba. Codice articolo FQ012898
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