6 citations · 10 across the 5 of their papers we have counts for
5 papers
Noncommutative reality-based algebras of rank 6
Allen Herman, Mikhael Muzychuk, Bangteng Xu
We classify the RBA-bases of -dimensional noncommutative semisimple algebras for which the algebra has a positive degree map. We show that these RBAs are parametrized by seven r…
Nonlinear functions and difference sets on group actions
Yun Fan, Bangteng Xu
Let , be finite groups and let be a finite -set. -perfect nonlinear functions from to have been studied in several papers. They have more interesting prope…
The recognition problem for table algebras and reality-based algebras
Allen Herman, Mikhael Muzychuk, Bangteng Xu
Given a finite-dimensional noncommutative semisimple algebra with involution, we show that always has an RBA-basis. We look for an RBA-basis that has integral or rational s…
Fourier Transforms and Bent Functions on Finite Abelian Group-Acted Sets
Yun Fan, Bangteng Xu
Let be a finite abelian group acting faithfully on a finite set . As a natural generalization of the perfect nonlinearity of Boolean functions, the -bentness and -perf…
On Wreath Products of One-Class Association Schemes
Sung Y. Song, Bangteng Xu
We give a full description of the algebraic structures of the Bose-Mesner algebra and Terwilliger algebra of the wreath product of one-class association schemes.