{"paper":{"title":"$\\mathcal{P}\\mathcal{S}$ bent functions constructed from finite pre-quasifield spreads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Baofeng Wu","submitted_at":"2013-08-15T10:51:08Z","abstract_excerpt":"Bent functions are of great importance in both mathematics and information science. The $\\mathcal{P}\\mathcal{S}$ class of bent functions was introduced by Dillon in 1974, but functions belonging to this class that can be explicitly represented are only the $\\mathcal{P}\\mathcal{S}_{\\text{ap}}$ functions, which were also constructed by Dillon after his introduction of the $\\mathcal{P}\\mathcal{S}$ class. In this paper, a technique of using finite pre-quasifield spread from finite geometry to construct $\\mathcal{P}\\mathcal{S}$ bent functions is proposed. The constructed functions are in similar st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3355","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}