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Algebraic Symmetries of Generic $(m+1)$-Dimensional Periodic Costas Arrays

Algebraic Symmetries of Generic $(m+1)$-Dimensional Periodic Costas Arrays

In this work we present two generators for the group of symmetries of the generic $(m+1)$ dimensional periodic Costas arrays over elementary abelian $(\mathbb{Z}_p)^m$ groups: one that is defined by multiplication on $m$ dimensions and the other by shear (addition) on $m$ dimensions. Through exhaustive search we observe that these …