{ "id": "2002.11931", "version": "v1", "published": "2020-02-27T06:00:27.000Z", "updated": "2020-02-27T06:00:27.000Z", "title": "Design-theoretic analogies between codes, lattices, and vertex operator algebras", "authors": [ "Tsuyoshi Miezaki" ], "comment": "18 pages", "categories": [ "math.CO", "math.GR", "math.NT", "math.QA" ], "abstract": "There are many analogies between codes, lattices, and vertex operator algebras. For example, extremal objects are good examples of combinatorial, spherical, and conformal designs. In this study, we investigated these objects from the aspect of design theory.", "revisions": [ { "version": "v1", "updated": "2020-02-27T06:00:27.000Z" } ], "analyses": { "subjects": [ "17B69", "05B05", "11F03", "05B30", "51E05", "62K10" ], "keywords": [ "vertex operator algebras", "design-theoretic analogies", "design theory", "extremal objects", "conformal designs" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }