Article
Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices
Author/s | Armario Sampalo, José Andrés
Egan, Ronan Flannery, Dane L. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2023-08-23 |
Deposit Date | 2023-10-13 |
Published in |
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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 ... 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. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-016 |
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. |
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