The first part of this book presents an introduction to the theory of finite fields, with emphasis on those aspects that are relevant for applications. The second part is devoted to a discussion of the most important applications of finite fields especially information theory, algebraic coding theory and cryptology (including some very recent material that has never before appeared in book form). There is also a chapter on applications within mathematics, such as finite geometries. combinatorics. and pseudorandom sequences. Worked-out examples and list of exercises found throughout the book make it useful as a textbook.
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' ... a model of how a text book should be written; it is clear, unfussy and contains lots of examples ... of particular interest to anybody wishing to teach a course in concrete algebra' Mathematika
' ... a very useful and highly readable introduction to the classical theory and the standard applications of finite fields. It has a clear and precise presentation with many examples and a large selection of exercises.' The Mathematical Gazette
The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. This book presents an introduction to this theory, and contains a discussion of the most important applications of finite fields.
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