Mathematical Sciences: Conference on Finite Fields: Theory, Applications and Algorithms; August, 1997; Waterloo, Canada

9616895马伦该奖项为将于1997年8月在滑铁卢大学举行的“有限领域：理论、应用和算法”会议提供支持。近年来，由于有限域的各个理论方面的广泛应用，有限域的研究又重新兴起。世界范围内越来越多的研究人员取得了许多令人振奋的新理论结果，并发现了许多新的应用。这次会议的目的是鼓励不同的研究人员群体之间的互动，包括理论和应用。会议组委会由R·马林、I·布莱克、S·科恩、G·马伦、H·尼德莱特、C·斯图尔特和S·范斯通组成。该奖项的资金将用于支持参加会议的美国研究生、博士后和初级教职员工。有限域的理论可以追溯到高斯和伽罗瓦。有限域在数论和代数几何的研究中起着核心作用。在过去的几十年里，它已经成为编码理论和密码学等领域的各种应用中不可或缺的工具。编码理论能够无差错地传输数据，并且例如在光盘和计算机驱动器中使用。密码学对于数据的安全传输至关重要。

9616895 Mullen This award provides support for a conference, "Finite Fields: Theory, Applications, and Algorithms", to be held at the University of Waterloo in August 1997. In recent years, there has been a resurgence of research in finite fields due to the wide variety of applications of various theoretical aspects of finite fields. Many exciting new theoretical results have been obtained by a growing number of researchers worldwide, and many new applications have been discovered. The purpose of this conference is to encourage interaction among different groups of researchers, both theoretical and applied. The organizing committee of the meeting consists of R. Mullin, I. Blake, S. Cohen, G. Mullen, H. Niederreiter, C. Stewart, and S. Vanstone. Funds from this award will be used to support U.S. graduate students, postdocs, and junior faculty members who attend the conference. The theory of finite fields can be traced back to Gauss and Galois. Finite fields have played central roles in research in number theory and algebraic geometry. In the last few decades, it has become an indispensable tool in diverse applications in areas such as coding theory and cryptography. Coding theory enables the error-free transmission of data, and is used, for example, in compact disks and computer drives. Cryptography is essential for the secure transmission of data.