电子书百科大全
Algebraic Curves over Finite Fields: Error-correcting Codes and Exponential Sums (Cambridge Tracts in Mathematics)
Carlos Moreno
Book Description
Release Date: 14 Oct 1993 | Series: Cambridge Tracts in Mathematics (Book 97)
In this Tract Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Amongst the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri’s proof of the Reimann hypothesis for function fields, with consequences for the estimation of exponential sums in one variable; Goppa’s theory of error-correcting codes constructed from linear systems on algebraic curves. There is also a new proof of the Tsfasman–Vladut–Zink theorem. The prerequisites needed to follow this book are few, and it can be used for graduate courses for mathematics students. Electrical engineers who need to understand the modern developments in the theory of error-correcting codes will also benefit from studying this work.
Product details
Paperback: 260 pages
Publisher: Cambridge University Press; New Ed edition (14 Oct 1993)
Language: English
ISBN-10: 052145901X
ISBN-13: 9780521459013
未经允许不得转载：电子书百科大全 » Algebraic Curves over Finite Fields: Error-correcting Codes and Exponential Sums
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In this Tract Professor Moreno develops the theory of algebraic curves over finite fields, their zeta and L-functions, and, for the first time, the theory of algebraic geometric Goppa codes on algebraic curves. Amongst the applications considered are: the problem of counting the number of solutions of equations over finite fields; Bombieri’s proof of the Reimann hypothesis for function fields, with consequences for the estimation of exponential sums in one variable; Goppa’s theory of error-correcting codes constructed from linear systems on algebraic curves. There is also a new proof of the Tsfasman–Vladut–Zink theorem. The prerequisites needed to follow this book are few, and it can be used for graduate courses for mathematics students. Electrical engineers who need to understand the modern developments in the theory of error-correcting codes will also benefit from studying this work.
Product details
Product details
Paperback: 260 pages
Publisher: Cambridge University Press; New Ed edition (14 Oct 1993)
Language: English
ISBN-10: 052145901X
ISBN-13: 9780521459013
未经允许不得转载：电子书百科大全 » Algebraic Curves over Finite Fields: Error-correcting Codes and Exponential Sums
相关推荐
- Electron Localization-Delocalization Matrices: 112 (Lecture Notes in Chemistry, 112)
- Statistical Intervals: A Guide for Practitioners and Researchers (Wiley Series in Probability and Statistics)
- Probability and Random Processes
- Everything Is Predictable: How Bayesian Statistics Explain Our World
- Probabilistic Risk Analysis: Foundations and Methods
- Workbook for Principles of Microeconomics (Classroom Companion: Economics)
- Business Continuity Management: A Practical Guide to Organization Resilience and ISO 22301
- Practical Credit Risk and Capital Modeling, and Validation: CECL, Basel Capital, CCAR, and Credit Scoring with Examples (Management for Professionals)