{"paper":{"title":"Repeated-root constacyclic codes over finite commutative chain rings and their distances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Anuradha Sharma, Tania Sidana","submitted_at":"2017-06-20T04:59:09Z","abstract_excerpt":"Let $\\mathcal{R}_e$ be a finite commutative chain ring with nilpotency index $e \\geq 2.$ In this paper, all repeated-root constacyclic codes of arbitrary lengths over $\\mathcal{R}_{2},$ their sizes and their dual codes are determined. As an application, some isodual constacyclic codes over $\\mathcal{R}_{2}$ are also listed. Moreover, Hamming distances, Rosenbloom-Tsfasman distances and Rosenbloom-Tsfasman weight distributions of all repeated-root constacyclic codes over $\\mathcal{R}_{2}$ and some repeated-root constacyclic codes over $\\mathcal{R}_{e}$ are determined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06269","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"}