We provide a geometric construction of [n, 9 , n- 9] q near-MDS codes arising from elliptic curves with nFq-rational points. Furthermore, we show that in some cases these codes cannot be extended to longer near-MDS codes.
Near-MDS codes from elliptic curves
Giuzzi L.;
2021-01-01
Abstract
We provide a geometric construction of [n, 9 , n- 9] q near-MDS codes arising from elliptic curves with nFq-rational points. Furthermore, we show that in some cases these codes cannot be extended to longer near-MDS codes.File in questo prodotto:
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Aguglia2021_Article_Near-MDSCodesFromEllipticCurve.pdf
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