{"paper":{"title":"Repeated Root Constacyclic Codes of Length $mp^s$ over $\\mathbb{F}_{p^r}+u \\mathbb{F}_{p^r}+...+ u^{e-1}\\mathbb{F}_{p^r}$","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kenza Guenda, T. Aaron Gulliver","submitted_at":"2012-11-30T17:52:30Z","abstract_excerpt":"We give the structure of $\\lambda$-constacyclic codes of length $p^sm$ over $R=\\mathbb{F}_{p^r}+u \\mathbb{F}_{p^r}+...+ u^{e-1}\\mathbb{F}_{p^r}$ with $\\lambda \\in \\F_{p^r}^*$. We also give the structure of $\\lambda$-constacyclic codes of length $p^sm$ with $\\lambda=\\alpha_1+u\\alpha_2+...+u^{e-1} \\alpha_{e-1}$, where $\\alpha_1,\\alpha_2 \\neq 0$ and study the self-duality of these codes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.7326","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":""},"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"}