Artículo
Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices
Autor/es | Armario Sampalo, José Andrés
![]() ![]() ![]() ![]() ![]() ![]() ![]() Egan, Ronan Flannery, Dane L. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2023-08-23 |
Fecha de depósito | 2023-10-13 |
Publicado en |
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Resumen | 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. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | FQM-016
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Cita | 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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