dc.creator | Armario Sampalo, José Andrés | es |
dc.creator | Egan, Ronan | es |
dc.creator | Flannery, Dane L. | es |
dc.date.accessioned | 2023-10-13T06:09:53Z | |
dc.date.available | 2023-10-13T06:09:53Z | |
dc.date.issued | 2023-08-23 | |
dc.identifier.citation | Armario Sampalo, J.A., Egan, R. y Flannery, D.L. (2023). Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices. Cryptography and Communications. https://doi.org/10.1007/s12095-023-00657-z. | |
dc.identifier.issn | 1936-2447 | es |
dc.identifier.issn | 1936-2455 | es |
dc.identifier.uri | https://hdl.handle.net/11441/149665 | |
dc.description.abstract | 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. | es |
dc.format | application/pdf | es |
dc.format.extent | 15 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Cryptography and Communications. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Generalized bent functions | es |
dc.subject | Butson Hadamard matrices | es |
dc.subject | Generalized perfect arrays | es |
dc.subject | Cocycles | es |
dc.title | Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | FQM-016 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s12095-023-00657-z | es |
dc.identifier.doi | 10.1007/s12095-023-00657-z | es |
dc.contributor.group | Universidad de Sevilla. FQM016: Códigos, Diseños, Criptografía y Optimización | es |
dc.journaltitle | Cryptography and Communications | es |
dc.contributor.funder | Junta de Andalucía | es |