August 2 - 6, 1999
University of Augsburg, Germany
Welcome
The theory of finite fields can be traced back to Gauss and Galois. In
recent years there has been a resurgence of research because of
the wide range of applications of various theoretical aspects
of finite fields. Some of the most important applications occur in all
parts of communication sciences, in particular in coding theory,
signal processing and cryptography. There has been an increasing
interaction among the different groups of researchers in these areas both
theoretical as well as applied and therefore an international conference
devoted to these ideas is essential. While there have been numerous
special meetings devoted exclusively to applications (such as coding
theory, designs and cryptography), the philosophy of the
-series is to have a broadly based conference bringing
together researchers and users of finite fields from various
disciplines to communicate, discuss and advance the frontiers of
knowledge in the theory and applications of such fields. Hence any
contribution in which the nature or properties of finite fields have a
significant part would qualify for discussion. Suitable topics include:
Structure of finite fields: normal bases, primitive
elements, polynomials.
Explicit constructions of finite field objects:
algorithms and complexity.
Arithmetical theory of function fields
over finite fields, L functions. Connections with number theory,
group theory and algebraic geometry.
Applications to coding theory, combinatorial designs,
Galois geometries, cryptology and connections between these areas.
Exponential sums and connections with codes. Sequences and
arrays over finite fields. Applications to numerical analysis.