{"paper":{"title":"A note on the duals of skew constacyclic codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.RA"],"primary_cat":"cs.IT","authors_text":"Alexis E. Almendras Valdebenito, Andrea Luigi Tironi","submitted_at":"2016-04-12T23:30:21Z","abstract_excerpt":"Let $\\mathbb{F}_q$ be a finite field with $q$ elements and denote by $\\theta : \\mathbb{F}_q\\to\\mathbb{F}_q$ an automorphism of $\\mathbb{F}_q$. In this paper, we deal with skew constacyclic codes, that is, linear codes of $\\mathbb{F}_q^n$ which are invariant under the action of a semi-linear map $\\Phi_{\\alpha,\\theta}:\\mathbb{F}_q^n\\to\\mathbb{F}_q^n$, defined by $\\Phi_{\\alpha,\\theta}(a_0,...,a_{n-2}, a_{n-1}):=(\\alpha \\theta(a_{n-1}),\\theta(a_0),...,\\theta(a_{n-2}))$ for some $\\alpha\\in\\mathbb{F}_q\\setminus\\{0\\}$ and $n\\geq 2$. In particular, we study some algebraic and geometric properties of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03617","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"}