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

@article{OrtizUbarri2013AlgebraicSO,
  title={Algebraic Symmetries of Generic \$(m+1)\$-Dimensional Periodic Costas Arrays},
  author={Jos{\'e} R. Ortiz-Ubarri and Oscar Moreno and Andrew Z. Tirkel and Rafael A. Arce-Nazario and Solomon W. Golomb},
  journal={IEEE Transactions on Information Theory},
  year={2013},
  volume={59},
  pages={1076-1081}
}
  • José R. Ortiz-Ubarri, Oscar Moreno, +2 authors Solomon W. Golomb
  • Published in
    IEEE Transactions on…
    2013
  • Computer Science, Mathematics
  • In this paper, we present two generators for the group of symmetries of the generic (m+1) -dimensional periodic Costas arrays over elementary abelian (\BBZp)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 two generators characterize the group of symmetries for the examples we were able to compute. Following the results, we conjecture that these generators characterize the group of… CONTINUE READING

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