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Finite Fields for Computer Scientists and Engineers

McEliece, Robert J. (1987) Finite Fields for Computer Scientists and Engineers. Kluwer International Series in Engineering and Computer Science. Vol.23. Springer , Boston, MA. ISBN 978-1-4612-9185-5. https://resolver.caltech.edu/CaltechAUTHORS:20200204-143509137

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Abstract

This book developed from a course on finite fields I gave at the University of Illinois at Urbana-Champaign in the Spring semester of 1979. The course was taught at the request of an exceptional group of graduate students (includ­ ing Anselm Blumer, Fred Garber, Evaggelos Geraniotis, Jim Lehnert, Wayne Stark, and Mark Wallace) who had just taken a course on coding theory from me. The theory of finite fields is the mathematical foundation of algebraic coding theory, but in coding theory courses there is never much time to give more than a "Volkswagen" treatment of them. But my 1979 students wanted a "Cadillac" treatment, and this book differs very little from the course I gave in response. Since 1979 I have used a subset of my course notes (correspond­ing roughly to Chapters 1-6) as the text for my "Volkswagen" treatment of finite fields whenever I teach coding theory. There is, ironically, no coding theory anywhere in the book! If this book had a longer title it would be "Finite fields, mostly of char­ acteristic 2, for engineering and computer science applications. " It certainly does not pretend to cover the general theory of finite fields in the profound depth that the recent book of Lidl and Neidereitter (see the Bibliography) does.


Item Type:Book
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-1-4613-1983-2DOIBook
Additional Information:© 1987 Springer-Verlag US.
Subject Keywords:Norm; Signal; communication; computer; computer science; mathematics; science
Series Name:Kluwer International Series in Engineering and Computer Science
Record Number:CaltechAUTHORS:20200204-143509137
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200204-143509137
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101116
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Feb 2020 22:57
Last Modified:04 Feb 2020 22:57

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