Abstract
This chapter is devoted to codes on classical modular curves or, to put it more precisely, on those obtained from modular curves by reduction to a finite characteristic. As we have shown in Part 3, the properties of an AG-code constructed from a curve are determined by its geometry and arithmetic. Here we give some necessary information on the structure of modular curves and of their reductions, and some corollaries for codes on such curves.
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© 1991 Springer Science+Business Media Dordrecht
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Tsfasman, M.A., Vlăduţ, S.G. (1991). Codes on Classical Modular Curves. In: Algebraic-Geometric Codes. Mathematics and Its Applications (Soviet Series), vol 58. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3810-9_14
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DOI: https://doi.org/10.1007/978-94-011-3810-9_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0335-6
Online ISBN: 978-94-011-3810-9
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