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Rational Points on Curves over Finite Fields: Theory and Applications: 285 (London Mathematical Society Lecture Note Series, Series Number 285) - Softcover

 
9780521665438: Rational Points on Curves over Finite Fields: Theory and Applications: 285 (London Mathematical Society Lecture Note Series, Series Number 285)

Synopsis

Discussion of theory and applications of algebraic curves over finite fields with many rational points.

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Review

'... the book under review develops many techniques that are not covered in the existing texts. I highly recommend it.' Steven D. Galbraith, Royal Holloway, University of London

'Because of the carefully selected contents and lucid style, the book can be warmly recommended to mathematicians interested in the above-mentioned topics or in algebraic curves over finite fields with many rational points.' EMS

'The book is very clearly written. It is warmly recommended to anyone who is interested in nice mathematical theories and/or in the recent applications.' Acta. Sci. Math.

Book Description

This book gives a summary of the theory and discusses the applications of algebraic curves over finite fields with many rational points. The bulk of the material in this book is of very recent origin and has not been systematically treated in any other works.

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  • PublisherCambridge University Press
  • Publication date1997
  • ISBN 10 0521665434
  • ISBN 13 9780521665438
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages256

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Niederreiter, Harald:
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 NIE 9780521665438 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2499149

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Paperback. Condition: new. Paperback. Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences. Rational points on algebraic curves over finite fields is a key topic for algebraic geometers and coding theorists. Here, the authors relate an important application of such curves, namely, to the construction of low-discrepancy sequences, needed for numerical methods in diverse areas. They sum up the theoretical work on algebraic curves over finite fields with many rational points and discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521665438

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