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Finite fields for computer scientists and engineers

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Published by Kluwer Academic Publishers in Boston .
Written in English

Subjects:

  • Finite fields (Algebra)

Book details:

Edition Notes

Statementby Robert J. McEliece.
SeriesThe Kluwer international series in engineering and computer science ;, SECS23., Information theory, Kluwer international series in engineering and computer science ;, SECS 23., Kluwer international series in engineering and computer science.
Classifications
LC ClassificationsQA247.3 .M37 1987
The Physical Object
Paginationx, 207 p. :
Number of Pages207
ID Numbers
Open LibraryOL2727291M
ISBN 100898381916
LC Control Number86021145

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  Finite Fields for Computer Scientists and Engineers. This book developed from a course on finite fields I gave at the University of Illinois at Urbana-Champaign in the Spring semester of Finite Fields for Computer Scientists and Engineers. Authors (view affiliations) Robert J. McEliece; Book. Citations; k Downloads; Part of the The Kluwer International Series in Engineering and Computer Science book series (SECS, volume 23) Log in to check access. Buy eBook. USD Instant download; Readable on all devices; Own it. Finite Fields for Computer Scientists and Engineers Series: The Springer International Series in Engineering and Computer Science, Vol. 23 This book developed from a course on finite fields I gave at the University of Illinois at Urbana-Champaign in the Spring semester of The course was taught at the. The theory of finite fields is of central importance in engineering and computer science, because of its applications to error-correcting codes, cryptography, spread-spectrum communications, and digital signal processing.

Home Browse by Title Books Finite field for scientists and engineers. Finite field for scientists and engineers. Efficient Symbolic Computation for Word-Level Abstraction From Combinational Circuits for Verification Over Finite Fields, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. Because of its applications in so many diverse areas, finite fields continues to grow in importance in modern mathematics. Finite fields now play particularly important roles in number theory, algebra, and algebraic geometry. They also play a crucial role in computer science, statistics, and engineering. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. INTRODUCTION TO FINITE FIELDS of some number of repetitions of g. Thus each element of Gappears in the sequence of elements fg;g'g;g'g'g;g. ; Theorem (Finite cyclic groups) A flnite group Gof order nis cyclic if and only if it is a single-generator group with generator gand with elements f0g;1g;2g;;(n¡1) Size: KB.

Workshop Goals. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer . ``Finite Fields for Computer Scientists and Engineers'', R. McEliece, Kluwer Academic Press, Prerequisites: MATH or or or equivalent; or permission of the School. Classes begin: Thursday, January 5, In a field the multiplicative identity is not the additive identity. So that can't be true. That would only be true if we had a field with one element, and fields implicitly always have at least two elements, 0 and 1. F2 is the smallest finite field. I suppose we could set up a single element that sort of satisfies all these axioms, but then, what is the multiplicative group? All right. So this .