Two-point AG codes from the Beelen-Montanucci maximal curve |
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| Affiliation: | Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark |
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| Abstract: | In this paper we investigate two-point algebraic-geometry codes (AG codes) coming from the Beelen-Montanucci (BM) maximal curve. We study properties of certain two-point Weierstrass semigroups of the curve and use them for determining a lower bound on the minimum distance of such codes. AG codes with better parameters with respect to comparable two-point codes from the Garcia-Güneri-Stichtenoth (GGS) curve are discovered. |
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| Keywords: | AG codes Beelen-Montanucci curve Order bound Two-point code Two-point Weierstrass semigroup |
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