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Algebraic Function Fields and Codes. (2nd ed.) / Stichtenoth, H.

Tác giả : Stichtenoth, H.

Nhà xuất bản : Springer

Năm xuất bản : 2009

Mô tả vật lý : 363 p.

Số phân loại : 512.74

Chủ đề : 1. Algebraic fields ; Algebraic functions ; Algebraic fields ; Goppa codes.. 2. Algebraic functions. 3. Book.

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Tóm tắt :

The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields. This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basic material. Other exercises are more advanced and cover additional material which could not be included in the text. This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography, coding theory and electrical engineering.

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