Titlebook: Algebraic Function Fields and Codes; Henning Stichtenoth Textbook 2009Latest edition Springer-Verlag Berlin Heidelberg 2009 Algebra.Algebr

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https://doi.org/10.1007/978-3-030-73976-8In the previous chapters we have seen that Weil differentials provide a useful tool for studying algebraic function fields. Now we shall develop the theory of differentials (beginning with a definition of differentials that is closer to analysis) and show how these are related to the notion of Weil differentials.

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Zoran Wittine,Sanja Franc,Antea Bari?i?In Chapter 2 we studied algebraic geometry (AG) codes associated with divi sors of an algebraic function field over IFq. Here we continue their investigation. Let us fix some notation for the whole of Chapter 8.

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Differentials of Algebraic Function Fields,In the previous chapters we have seen that Weil differentials provide a useful tool for studying algebraic function fields. Now we shall develop the theory of differentials (beginning with a definition of differentials that is closer to analysis) and show how these are related to the notion of Weil differentials.

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