Chinese Remainder Theorem PDF Download

Chinese Remainder Theorem PDF
By:Cunsheng Ding,Dingyi Pei,Ting-i Pʻei,Arto Salomaa
Published on 1996 by World Scientific Publishing Company Incorporated

1. Introduction and philosophy. 1.1. A historical overview. 1.2. Pars pro toto. 1.3. Chinese remainder theorem: a first formulation. 1.4. CRT in the hands of old mathematicians. 1.5. CRT in applications: the three C's -- 2. Chinese remainder algorithm. 2.1. Historical development. 2.2. Chinese remainder algorithms. 2.3. Chinese remainder theorem. 2.4. A generalized CRA. 2.5. Another generalized CRT -- 3. In modular computations. 3.1. Modular computation based on CRA. 3.2. A modular approach to multiplication. 3.3. Computing exact polynomial resultants. 3.4. Other applications in symbolic computations. 3.5. CRA and homomorphic image computing. 3.6. Information and CRT -- 4. In algorithmics. 4.1. Divide-and-conquer techniques. 4.2. Polynomial interpolation over fields. 4.3. Polynomial interpolation over Z/(m). 4.4. Shift-register synthesis over Z/(m). 4.5. Common primitive roots. 4.6. From one- to multi-dimension. 4.7. A modular algorithm for cyclic convolution. 4.8. A fast algorithm for cyclic convolution. 4.9. Fast fourier transform and CRT -- 5. In bridging computations. 5.1. A main bridge. 5.2. Solving equations over Z/(m). 5.3. Number of roots of equations over Z/(m). 5.4. Computing fixed points. 5.5. Bridging divisions of polynomials. 5.6. Permutation polynomials of Z/(m) -- 6. In coding theory. 6.1. Basics of block codes. 6.2. Redundant residue codes. 6.3 Reed-Solomon codes. 6.4. Redundant residue codes of degree 2. 6.5. Bossen-Yau codes. 6.6. Generalized redundant residue codes. 6.7. Restricted GRR codes. 6.8. A Class of arithmetic residue codes -- 7. In cryptography. 7.1. Secret sharing and CRT. 7.2. Secret sharing and codes. 7.3. CRT and stream ciphering. 7.4. CRA and knapsack problems. 7.5. Public-key systems via CRT

This Book was ranked at 36 by Google Books for keyword mathematics about sets.

Book ID of Chinese Remainder Theorem's Books is Vx98QgAACAAJ, Book which was written byCunsheng Ding,Dingyi Pei,Ting-i Pʻei,Arto Salomaahave ETAG "WwaS/iY/O4E"

Book which was published by World Scientific Publishing Company Incorporated since 1996 have ISBNs, ISBN 13 Code is 9789810228279 and ISBN 10 Code is 9810228279

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