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{
    "pk": 64962,
    "title": "Projective two-weight sets of Denniston type",
    "subtitle": null,
    "abstract": "We construct two-weight sets in PG\\((3n-1,q)\\), \\(n\\geq2\\) with the same weights as those that would arise from the blow-up of a maximal \\(q\\)-arc in PG\\((2,q^n)\\). The construction is of particular interest when \\(q\\) is odd, as it is well known that no maximal arcs in PG\\((2,q^n)\\) exist in that case.\n \nMathematics Subject Classifications: 51E20, 05B25\n \nKeywords: Projective two-weight set, maximal arc",
    "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": "Projective two-weight set"
        },
        {
            "word": "maximal arc"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/1258723h",
    "frozenauthors": [
        {
            "first_name": "Stefaan",
            "middle_name": "",
            "last_name": "De Winter",
            "name_suffix": "",
            "institution": "Division of Mathematical Sciences, The National Science Foundation, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2025-03-14T16:14:15Z",
    "date_accepted": "2025-03-14T16:14:15Z",
    "date_published": "2025-03-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64962/galley/49772/download/"
        }
    ]
}