{"paper":{"title":"On $\\mathbb{Z}_t \\times \\mathbb{Z}_2^2$-cocyclic Hadamard matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Felix Gudiel, Maria Belen Guemes, Victor Alvarez","submitted_at":"2011-12-19T10:52:26Z","abstract_excerpt":"A characterization of $\\mathbb{Z} _t \\times \\mathbb{Z}_2^2$-cocyclic Hadamard matrices is described, depending on the notions of {\\em distributions}, {\\em ingredients} and {\\em recipes}. In particular, these notions lead to the establishment of some bounds on the number and distribution of 2-coboundaries over $\\mathbb{Z}_t \\times \\mathbb{Z} _2^2$ to use and the way in which they have to be combined in order to obtain a $\\mathbb{Z} _t \\times \\mathbb{Z}_2^2$-cocyclic Hadamard matrix. Exhaustive searches have been performed, so that the table in p. 132 in [4] is corrected and completed. Furthermo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4296","kind":"arxiv","version":2},"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"}