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How to Break Gilbert-Varshamov Bound

Goppa Codes on Modular Curves

Language EnglishEnglish
Book Paperback
Book How to Break Gilbert-Varshamov Bound Orhun Kara
Libristo code: 06822926
Publishers VDM Verlag Dr. Müller, November 2008
Modular curves provide the first known examples of§codes which are better than random ones. However,... Full description
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Modular curves provide the first known examples of§codes which are better than random ones. However, for§an explicit construction of a code one needs a§nonsingular model of the modular curve that initially§is defined via a very singular planar model given by§a modular equation. In this work we analyze the§structure of its affine singularities in terms of§class numbers of binary quadratic forms. In§principle this allows to describe the space of§regular differentials vanishing at a point needed for§the Goppa construction.

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About the book

Full name How to Break Gilbert-Varshamov Bound
Author Orhun Kara
Language English
Binding Book - Paperback
Date of issue 2009
Number of pages 92
EAN 9783639143195
Libristo code 06822926
Publishers VDM Verlag Dr. Müller
Weight 155
Dimensions 151 x 220 x 12
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