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arXiv · 2611.04863

Geometric Obstructions and Sharp Genus Dependence in LCD Scalings

Rahim Rahmati-Asghar
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Abstract

We study the least pole order of a rational function whose nonzero evaluations scale a prescribed code to a Euclidean LCD code. A residue-one differential yields an obstruction for odd-dimensional one-point AG codes in characteristic two: for $C=C_L(D,aQ)$ with $0\le a 3k$, and for $q>2k$ in characteristic two.

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Rahim Rahmati-Asghar. 2026-11-03. Geometric Obstructions and Sharp Genus Dependence in LCD Scalings. https://arxiv.org/abs/2611.04863

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