{"paper":{"title":"Construction of DNA codes using $\\theta$-skew cyclic codes over $\\mathbb{F}_4 + v \\mathbb{F}_4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jo\\\"el Kabore, Mohammed Elhassani Charkani","submitted_at":"2025-06-02T01:23:43Z","abstract_excerpt":"In this paper, we investigate $\\theta$-skew cyclic codes over the ring $R= \\mathbb{F}_4 + v \\mathbb{F}_4$, where $v^2=v$ and $\\theta$ is a non-trivial automorphism over $\\mathbb{F}_4 + v \\mathbb{F}_4$. This allows us to describe DNA code over this ring by characterizing $\\theta$-skew cyclic reversible DNA codes and $\\theta$-skew cyclic reversible complement DNA codes. We also explore the Gray images of $\\theta$-skew cyclic codes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01236","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.01236/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}