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Sinossi
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.
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Contenuti
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.
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Finite Fields for Computer Scientists and Engineers
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Kluwer Academic Publishers, 1987
ISBN 10: 0898381916
ISBN 13: 9780898381917
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The Kluwer International Series in Engineering and Computer Science; 23 (The Springer International Series in Engineering and Computer Science, 23)
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ISBN 13: 9780898381917
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The Kluwer International Series in Engineering and Computer Science; 23 (The Springer International Series in Engineering and Computer Science, 23)
Editore:
Kluwer Academic Publishers, 1986
ISBN 10: 0898381916
ISBN 13: 9780898381917
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The Kluwer International Series in Engineering and Computer Science; 23 (The Springer International Series in Engineering and Computer Science, 23)
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 222 pp. Englisch. Codice articolo 9780898381917
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Finite Fields for Computer Scientists and Engineers
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Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 222 pp. Englisch. Codice articolo 9780898381917
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780898381917
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