{"paper":{"title":"Synchronization Strings: Efficient and Fast Deterministic Constructions over Small Alphabets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.IT"],"primary_cat":"cs.IT","authors_text":"Amirbehshad Shahrasbi, Bernhard Haeupler, Ke Wu, Kuan Cheng, Xin Li","submitted_at":"2018-03-08T02:45:15Z","abstract_excerpt":"Synchronization strings are recently introduced by Haeupler and Shahrasbi (STOC 2017) in the study of codes for correcting insertion and deletion errors (insdel codes). They showed that for any parameter $\\varepsilon>0$, synchronization strings of arbitrary length exist over an alphabet whose size depends only on $\\varepsilon$. Specifically, they obtained an alphabet size of $O(\\varepsilon^{-4})$, which left an open question on where the minimal size of such alphabets lies between $\\Omega(\\varepsilon^{-1})$ and $O(\\varepsilon^{-4})$. In this work, we partially bridge this gap by providing an i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03530","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"}