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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Applications of Finite Fields (Hardcover, 1993 ed.)
Loot Price: R4,481
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Applications of Finite Fields (Hardcover, 1993 ed.)
Series: The Springer International Series in Engineering and Computer Science, 199
Expected to ship within 10 - 15 working days
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The theory of finite fields, whose origins can be traced back to
the works of Gauss and Galois, has played a part in various
branches of mathematics, in recent years there has been a
resurgence of interest in finite fields, and this is partly due to
important applications in coding theory and cryptography.
Applications of Finite Fields introduces some of these recent
developments. This book focuses attention on some specific recent
developments in the theory and applications of finite fields. While
the topics selected are treated in some depth, Applications of
Finite Fields does not attempt to be encyclopedic. Among the topics
studied are different methods of representing the elements of a
finite field (including normal bases and optimal normal bases),
algorithms for factoring polynomials over finite fields, methods
for constructing irreducible polynomials, the discrete logarithm
problem and its implications to cryptography, the use of elliptic
curves in constructing public key cryptosystems, and the uses of
algebraic geometry in constructing good error-correcting codes.
This book is developed from a seminar held at the University of
Waterloo. The purpose of the seminar was to bridge the knowledge of
the participants whose expertise and interests ranged from the
purely theoretical to the applied. As a result, this book will be
of interest to a wide range of students, researchers and
practitioners in the disciplines of computer science, engineering
and mathematics. Applications of Finite Fields is an excellent
reference and may be used as a text for a course on the subject.
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