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Books > Science & Mathematics > Mathematics > Algebra
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Finite Fields: Theory and Computation - The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Paperback, Softcover reprint of hardcover 1st ed. 1999)
Loot Price: R2,910
Discovery Miles 29 100
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Finite Fields: Theory and Computation - The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography (Paperback, Softcover reprint of hardcover 1st ed. 1999)
Series: Mathematics and Its Applications, 477
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This book is mainly devoted to some computational and algorithmic
problems in finite fields such as, for example, polynomial
factorization, finding irreducible and primitive polynomials, the
distribution of these primitive polynomials and of primitive points
on elliptic curves, constructing bases of various types and new
applications of finite fields to other areas of mathematics. For
completeness we in clude two special chapters on some recent
advances and applications of the theory of congruences (optimal
coefficients, congruential pseudo-random number gener ators,
modular arithmetic, etc.) and computational number theory
(primality testing, factoring integers, computation in algebraic
number theory, etc.). The problems considered here have many
applications in Computer Science, Cod ing Theory, Cryptography,
Numerical Methods, and so on. There are a few books devoted to more
general questions, but the results contained in this book have not
till now been collected under one cover. In the present work the
author has attempted to point out new links among different areas
of the theory of finite fields. It contains many very important
results which previously could be found only in widely scattered
and hardly available conference proceedings and journals. In
particular, we extensively review results which originally appeared
only in Russian, and are not well known to mathematicians outside
the former USSR."
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