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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer
- Data di pubblicazione2011
- ISBN 10 1461291852
- ISBN 13 9781461291855
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine224
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Finite Fields for Computer Scientists and Engineers
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Taschenbuch. 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 9781461291855
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Finite Fields for Computer Scientists and Engineers
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Taschenbuch. 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. 224 pp. Englisch. Codice articolo 9781461291855
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Finite Fields for Computer Scientists and Engineers (The Springer International Series in Engineering and Computer Science)
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Finite Fields for Computer Scientists and Engineers (The Springer International Series in Engineering and Computer Science (23))
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