Preface
This volume contains the refereed proceedings of the conference "Finite Fields:
Theory, Applications, and Algorithms" held at the University of Nevada, Las
Vegas, August 17-21, 1993. The Organizing Committee consisted of Ernest Peck,
William Wells, Peter Shiue, Daqing Wan, Laxmi Gewali (all of the University of
Nevada, Las Vegas), and Gary L. Mullen (The Pennsylvania State University).
Because of applications in so many diverse areas, finite fields continue to play
increasingly important roles in modern mathematics. In particular they now
play very important roles in number theory, algebra, and algebraic geometry, as
well as in computer science, information theory, statistics and engineering. Areas
of application include, but are certainly not limited to, algebraic coding theory,
cryptology, and combinatorial design theory. Computational and algorithmic
aspects of finite field problems also continue to grow in importance.
We gratefully acknowledge the very generous support of the conference by
both the National Security Agency and the National Science Foundation. With-
out their support we would not have been able to invite so many eminent re-
searchers in the area. Even more importantly, we would not have been able to
partially support so many junior faculty members, postdocs and graduate stu-
dents. We are very grateful to both of the above agencies for their generous
financial support. We also thank the Institute of Combinatorics and its Ap-
plications (ICA) for partial travel support for Scott Vanstone, the ICA invited
speaker.
The purpose of the conference was to bring together workers in theoretical,
applied, and algorithmic finite field theory. All papers in this volume have been
refereed, and rather than listing papers by areas, we have simply listed them
in alphabetical order by author. These proceedings also contain a list of all
conference participants and speakers and, in addition, a list of open problems
and conjectures designed to stimulate further research in both theoretical and
applied aspects of finite fields.
On behalf of all participants, we would like to thank the College of Science
and Mathematics, the Howard R. Hughes College of Engineering, the University
Office of Research, and the Department of Mathematical Sciences at the Univer-
sity of Nevada, Las Vegas, for their hospitality and support. Special thanks are
XI
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