{"paper":{"title":"Cyclic codes over the ring $\\mathbb{F}_p[u,v] / \\langle u^k,v^2,uv-vu\\rangle$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bappaditya Ghosh, Pramod Kumar Kewat","submitted_at":"2015-08-27T21:11:11Z","abstract_excerpt":"Let $p$ be a prime number. In this paper, we discuss the structures of cyclic codes over the ring $ \\mathbb{F}_p[u, v] / \\langle u^k, v^2, uv-vu\\rangle$. We find a unique set of generators for these codes. We also study the rank and the Hamming distance of these codes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07034","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"}