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Asymptotic Problems

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Algebraic-Geometric Codes

Part of the book series: Mathematics and Its Applications () ((MASS,volume 58))

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Abstract

The parameters of codes of large length n are of particular interest. As it happens quite often, if a problem has no easy answer for each particular n - just as our problem of finding out the best possible parameters of a code - passing to the limit for n → ∞ helps us to avoid “deviations” and to understand the behaviour of parameters better. In this chapter we state the problems rigorously and discuss those results that do not use algebraic-geometric codes. We shall return to asymptotic problems in Chapter 3.4, since asymptotic results are the best to demonstrate the power of algebraic-geometric methods.

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© 1991 Springer Science+Business Media Dordrecht

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Tsfasman, M.A., Vlăduţ, S.G. (1991). Asymptotic Problems. In: Algebraic-Geometric Codes. Mathematics and Its Applications (Soviet Series), vol 58. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3810-9_3

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  • DOI: https://doi.org/10.1007/978-94-011-3810-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0335-6

  • Online ISBN: 978-94-011-3810-9

  • eBook Packages: Springer Book Archive

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