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{
    "pk": 64931,
    "title": "On the size of maximal binary codes with 2, 3, and 4 distances",
    "subtitle": null,
    "abstract": "We address the maximum size of binary codes and binary constant weight codes with few distances. Previous works established a number of bounds for these quantities as well as the exact values for a range of small code lengths. As our main results, we determine the exact size of maximal binary codes with two distances for all lengths \\(n\\ge 6\\) as well as the exact size of maximal binary constant weight codes with \\(2\\), \\(3\\), and \\(4\\) distances for several values of the weight and for all but small lengths.\n \nMathematics Subject Classifications: 52C10, 05D05, 94B65\n \nKeywords: Johnson space, Erdös-Ko-Rado, Delsarte inequalities",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "Johnson space"
        },
        {
            "word": "Erdös-Ko-Rado"
        },
        {
            "word": "Delsarte inequalities"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/3th2g2bk",
    "frozenauthors": [
        {
            "first_name": "Alexander",
            "middle_name": "",
            "last_name": "Barg",
            "name_suffix": "",
            "institution": "Department of ECE and Institute for Systems Research, University of Maryland, College Park, MD 20742, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Alexey",
            "middle_name": "",
            "last_name": "Glazyrin",
            "name_suffix": "",
            "institution": "School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Brownsville, TX 78520, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Wei-Jiun",
            "middle_name": "",
            "last_name": "Kao",
            "name_suffix": "",
            "institution": "Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan",
            "department": ""
        },
        {
            "first_name": "Ching-Yi",
            "middle_name": "",
            "last_name": "Lai",
            "name_suffix": "",
            "institution": "Institute of Communications Engineering, National Yang Ming Chiao Tung University (NYCU), Hsinchu 30010, Taiwan, and Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan",
            "department": ""
        },
        {
            "first_name": "Pin-Chieh",
            "middle_name": "",
            "last_name": "Tseng",
            "name_suffix": "",
            "institution": "Institute of Communications Engineering and the Department of Applied Mathematics, National Yang Ming Chiao Tung University (NYCU), Hsinchu 30010, Taiwan",
            "department": ""
        },
        {
            "first_name": "Wei-Hsuan",
            "middle_name": "",
            "last_name": "Yu",
            "name_suffix": "",
            "institution": "Department of Mathematics, National Central University, Taoyuan 32001, Taiwan",
            "department": ""
        }
    ],
    "date_submitted": "2024-07-01T11:45:44+02:00",
    "date_accepted": "2024-07-01T11:45:44+02:00",
    "date_published": "2024-06-30T09:00:00+02:00",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64931/galley/49741/download/"
        }
    ]
}