{"paper":{"title":"On Gr\\\"obner Basis for certain one-point AG codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Federico Fornasiero, Guilherme Tizziotti","submitted_at":"2017-03-20T18:10:34Z","abstract_excerpt":"In this work we present a way to construct the so-called root diagram for one-point AG codes $C$ arising from certain types of curves $\\mathcal{X}$ over $\\mathbb{F}_q$ with plane model $f(y)=g(x)$. Using this root diagram we can get an algorithm to obtain a Gr\\\"obner basis for the submodule $\\overline{C}$ associated to $C$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06899","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}