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Commun."],"published-print":{"date-parts":[[2024,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard matrices, and abelian splitting relative difference sets. We establish a broader network of equivalences by considering Butson matrices that are cocyclic rather than strictly group invariant. This result has several applications; for example, to the construction of Boolean functions whose expansions are generalized partially bent functions, including cases where no bent function can exist.<\/jats:p>","DOI":"10.1007\/s12095-023-00657-z","type":"journal-article","created":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T02:02:32Z","timestamp":1692756152000},"page":"323-337","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices"],"prefix":"10.1007","volume":"16","author":[{"given":"J. A.","family":"Armario","sequence":"first","affiliation":[]},{"given":"R.","family":"Egan","sequence":"additional","affiliation":[]},{"given":"D. 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