| 書目名稱 | Finite Fields: Theory and Computation | | 副標題 | The Meeting Point of | | 編輯 | Igor E. Shparlinski | | 視頻video | http://file.papertrans.cn/344/343618/343618.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in- clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener- ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod- ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only | | 出版日期 | Conference proceedings 1999 | | 關鍵詞 | Symbol; algebra; coding theory; computer; computer science; cryptography; finite field; number theory; theor | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-9239-0 | | isbn_softcover | 978-90-481-5203-2 | | isbn_ebook | 978-94-015-9239-0 | | copyright | Springer Science+Business Media B.V. 1999 |
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