Coding Theory and Number Theory - pocketboek

2001, ISBN: 9789048162574

This book grew out of our lectures given in the Oberseminar on 'Cod­ ing Theory and Number Theory' at the Mathematics Institute of the Wiirzburg University in the Summer Semester, 2001. T… Meer...

This book grew out of our lectures given in the Oberseminar on 'Cod­ ing Theory and Number Theory' at the Mathematics Institute of the Wiirzburg University in the Summer Semester, 2001. The coding the­ ory combines mathematical elegance and some engineering problems to an unusual degree. The major advantage of studying coding theory is the beauty of this particular combination of mathematics and engineering. In this book we wish to introduce some practical problems to the math­ ematician and to address these as an essential part of the development of modern number theory. The book consists of five chapters and an appendix. Chapter 1 may mostly be dropped from an introductory course of linear codes. In Chap­ ter 2 we discuss some relations between the number of solutions of a diagonal equation over finite fields and the weight distribution of cyclic codes. Chapter 3 begins by reviewing some basic facts from elliptic curves over finite fields and modular forms, and shows that the weight distribution of the Melas codes is represented by means of the trace of the Hecke operators acting on the space of cusp forms. Chapter 4 is a systematic study of the algebraic-geometric codes. For a long time, the study of algebraic curves over finite fields was the province of pure mathematicians. In the period 1977 - 1982, V. D. Goppa discovered an amazing connection between the theory of algebraic curves over fi­ nite fields and the theory of q-ary codes. Books > Computer Science Soft cover, Springer Shop<

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ISBN: 9789048162574

This introductory book, which grew out of lectures given at the Mathematics Institute of Wurzburg University, proposes a combination of coding theory and number theory. Chapter 1 gives a … Meer...

This introductory book, which grew out of lectures given at the Mathematics Institute of Wurzburg University, proposes a combination of coding theory and number theory. Chapter 1 gives a standard course of linear codes. The next two chapters treat a link between coding theory and number theory. Chapter 4 is a systematic study of algebraic-geometric codes and in Chapter 5 a connection between binary linear codes and theta functions is discussed. The book is designed to teach undergraduates and graduates the basic ideas and techniques of coding theory and number theory. Coding Theory and Number Theory Hiramatsu, T. / Kohler, Gunter / K. Hler, G. Nter, Springer<

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2003

ISBN: 9048162572

gebonden uitgave

Coding Theory and Number Theory ab 106.99 € als Taschenbuch: Softcover reprint of hardcover 1st ed. 2003. Aus dem Bereich: Bücher, English, International, Gebundene Ausgaben, Medien > Büc… Meer...

Coding Theory and Number Theory ab 106.99 € als Taschenbuch: Softcover reprint of hardcover 1st ed. 2003. Aus dem Bereich: Bücher, English, International, Gebundene Ausgaben, Medien > Bücher, Springer Netherlands<

Nr. 13445441. Verzendingskosten:, , zzgl. Versandkosten. (EUR 2.95)

2003, ISBN: 9048162572

gebonden uitgave

Coding Theory and Number Theory ab 106.99 € als Taschenbuch: Softcover reprint of hardcover 1st ed. 2003. Aus dem Bereich: Bücher, Ratgeber, Computer & Internet, Medien > Bücher, Springer… Meer...

Coding Theory and Number Theory ab 106.99 € als Taschenbuch: Softcover reprint of hardcover 1st ed. 2003. Aus dem Bereich: Bücher, Ratgeber, Computer & Internet, Medien > Bücher, Springer Netherlands<

Nr. 13445441. Verzendingskosten:, , DE. (EUR 0.00)