| 期刊全称 | Applications of Finite Fields | | 影响因子2023 | Ian F. Blake,XuHong Gao,Tomik Yaghoobian,Alfred J. | | 视频video | | | 学科分类 | The Springer International Series in Engineering and Computer Science | | 图书封面 |  | | 影响因子 | The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent years we have witnessed a resurgence of interest in finite fields, and this is partly due to important applications in coding theory and cryptography. The purpose of this book is to introduce the reader to some of these recent developments. It should be of interest to a wide range of students, researchers and practitioners in the disciplines of computer science, engineering and mathematics. We shall focus our attention on some specific recent developments in the theory and applications of finite fields. While the topics selected are treated in some depth, we have not attempted to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in construct | | Pindex | Book 1993 |
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发表于 2025-3-21 19:42:48
