MOMENTAN AUSVERKAUFT
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Product Identifiers
PublisherSpringer
ISBN-100898381916
ISBN-139780898381917
eBay Product ID (ePID)409992
Product Key Features
Number of PagesXii, 208 Pages
Publication NameFinite Fields for Computer Scientists and Engineers
LanguageEnglish
SubjectAlgebra / Abstract, Algebra / General, Electrical, Discrete Mathematics
Publication Year1986
FeaturesReprint
TypeTextbook
AuthorRobert J. Mceliece
Subject AreaMathematics, Technology & Engineering
SeriesThe Springer International Series in Engineering and Computer Science Ser.
FormatHardcover
Dimensions
Item Weight38.4 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN86-021145
Dewey Edition19
Series Volume Number23
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512/.3
Edition DescriptionReprint
Table Of Content1 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.
SynopsisThis 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 (correspond- ing 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., 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 (correspond ing 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., 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 (correspond- ing 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.
LC Classification NumberTK1-9971
