{ "id": "2409.07877", "version": "v1", "published": "2024-09-12T09:34:33.000Z", "updated": "2024-09-12T09:34:33.000Z", "title": "A new upper bound for codes with a single Hamming distance", "authors": [ "Gábor Hegedüs" ], "comment": "comments are welcome", "categories": [ "math.CO", "math.MG" ], "abstract": "In this short note we give a new upper bound for the size of a set family with a single Hamming distance. Our proof is an application of the linear algebra bound method.", "revisions": [ { "version": "v1", "updated": "2024-09-12T09:34:33.000Z" } ], "analyses": { "subjects": [ "05D05", "12D99", "15A03" ], "keywords": [ "single hamming distance", "upper bound", "linear algebra bound method", "short note", "application" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }