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arXiv · 2607.10680

Wei-type duality and asymptotics of the footprint bound

Rodrigo San-José
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Abstract

We obtain a Wei-type duality between the footprint bound and the dual footprint bound for the generalized Hamming weights of an evaluation code. This duality applies between the Andersen-Geil and Feng-Rao bounds as well. We also prove that the footprint and dual footprint bounds cannot be used to guarantee the asymptotic goodness of a family of evaluation codes.

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Rodrigo San-José. 2026-07-12. Wei-type duality and asymptotics of the footprint bound. https://arxiv.org/abs/2607.10680

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