On the parameters of algebraic-geometry codes related to Arf semigroups (Q2705991)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the parameters of algebraic-geometry codes related to Arf semigroups |
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On the parameters of algebraic-geometry codes related to Arf semigroups (English)
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19 March 2001
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algebraic geometry codes
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Arf semigroups
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order bound
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improved geometric codes
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linear codes
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Feng-Rao bound
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The authors compute the order (or Feng-Rao) bound on the minimum of one-point algebraic geometry codes \({\mathcal C}_\ell:= \mathcal C_\Omega(\mathcal P,\rho_\ell Q)\) whenever the Weierstrass semigroup at \(Q\) is an Arf semigroup. Moreover, the results developed for that purpose also provide the dimension of the improved geometric Goppa codes related to these \(\mathcal C_\ell\).
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