论文标题
广义部分弯曲的功能，广义的完美阵列和Cocyclic Butson矩阵
Generalized partially bent functions, generalized perfect arrays and cocyclic Butson matrices
论文作者
论文摘要
在最近的一项调查中，施密特在广义弯曲函数，组不变的Butson Hadamard矩阵和Abelian分裂相对差异集之间编制了等价。我们通过考虑cocyclic而不是严格的组不变的Butson矩阵来建立更广泛的等价网络。该结果有多个应用程序。例如，构建布尔函数的扩展是部分弯曲的函数，包括不存在弯曲函数的情况。
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.
