{ "id": "math/0702110", "version": "v1", "published": "2007-02-05T17:39:13.000Z", "updated": "2007-02-05T17:39:13.000Z", "title": "On the Number of Inequivalent Binary Self-Orthogonal Codes", "authors": [ "Xiang-dong Hou" ], "comment": "41 pages", "categories": [ "math.CO" ], "abstract": "Let $\\Psi_{k,n}$ denote the number of inequivalent binary self-orthogonal $[n,k]$ codes. We present a method which allows us to compute $\\Psi_{k,n}$ explicitly for a moderate $k$ and an arbitrary $n$. Included in this paper are explicit formulas for $\\Psi_{k,n}$ with $k\\le 5$.", "revisions": [ { "version": "v1", "updated": "2007-02-05T17:39:13.000Z" } ], "analyses": { "subjects": [ "05A15", "20B25" ], "keywords": [ "inequivalent binary self-orthogonal codes", "explicit formulas" ], "note": { "typesetting": "TeX", "pages": 41, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......2110H" } } }