The theory of algebraic function fields over finite fields has its
origins in number theory. However, after Goppa's discovery of
algebraic geometry codes around 1980, many applications of function
fields were found in different areas of mathematics and information
theory, such as coding theory, sphere packings and lattices,
sequence design, and cryptography. The use of function fields often
led to better results than those of classical approaches. This book
presents survey articles on some of these new developments. Most of
the material is directly related to the interaction between
function fields and their various applications; in particular the
structure and the number of rational places of function fields are
of great significance. The topics focus on material which has not
yet been presented in other books or survey articles. Wherever
applications are pointed out, a special effort has been made to
present some background concerning their use.
General
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