Rational points on curves over finite fields: theory and applications

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This book has two main aims. Firstly, to give a summary of the theoretical work in algebraic curves over finite fields with many rational points. Secondly, to discuss the applications of this theory to areas such as information theory (algebraic coding theory) and computational mathematics (construction of low-discrepancy sequences). The bulk of the material in this book is of very recent origin. The authors have given the first systematic treatment of this material in this book.

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Title Statements

Full title :Rational points on curves over finite fields : theory and applications

Summary

Edition Statements

Publication Date:2001
Edition:2. print

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2001

The Physical Object

Description:245 p.

Edition Identifiers

ISBN:9780521665438, 0521665434
oclc:ocn472322179
LC Classification:QA565
Dewey Decimal:516.3 52

1. Background on function fields; 2. Class field theory; 3. Explicit function fields; 4. Function fields with many rational places; 5. Asymptotic results; 6. Applications to algebraic coding theory; 7. Applications to cryptography; 8. Applications to low-discrepancy sequences.