+612 9045 4394
 
CHECKOUT
Finite Fields for Computer Scientists and Engineers : The Springer International Series in Engineering and Computer Science - Robert J. McEliece

Finite Fields for Computer Scientists and Engineers

The Springer International Series in Engineering and Computer Science

Hardcover

Published: 30th November 1986
Ships: 7 to 10 business days
7 to 10 business days
RRP $609.99
$422.25
31%
OFF
or 4 easy payments of $105.56 with Learn more

Other Available Formats (Hide)

  • Paperback View Product Published: 17th September 2011
    $293.53

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. Though not inherently difficult, this subject is almost never taught in depth in mathematics courses, (and even when it is the emphasis is rarely on the practical aspect). Indeed, most students get a brief and superficial survey which is crammed into a course on error-correcting codes. It is the object of this text to remedy this situation by presenting a thorough introduction to the subject which is completely sound mathematically, yet emphasizes those aspects of the subject which have proved to be the most important for applications.
This book is unique in several respects. Throughout, the emphasis is on fields of characteristic 2, the fields on which almost all applications are based. The importance of Euclid's algorithm is stressed early and often. Berlekamp's polynomial factoring algorithm is given a complete explanation. The book contains the first treatment of Berlekamp's 1982 bit-serial multiplication circuits, and concludes with a thorough discussion of the theory of m-sequences, which are widely used in communications systems of many kinds.

1 Prologue.- 2 Euclidean Domains and Euclid's Algorithm.- 3 Unique Factorization in Euclidean Domains.- 4 Building Fields from Euclidean Domains.- 5 Abstract Properties of Finite Fields.- 6 Finite Fields Exist and are Unique.- 7 Factoring Polynomials over Finite Fields.- 8 Trace, Norm, and Bit-Serial Multiplication.- 9 Linear Recurrences over Finite Fields.- 10 The Theory of m-Sequences.- 11 Crosscorrelation Properties of m-Sequences.

ISBN: 9780898381917
ISBN-10: 0898381916
Series: The Springer International Series in Engineering and Computer Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 208
Published: 30th November 1986
Publisher: Kluwer Academic Publishers
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.42
Weight (kg): 0.49