On Perfect Difference Families and their Applications to Radar Arrays

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Perfect difference families were introduced as an abstraction of the problem of spacing movable antennas in radio astronomy in the middle of 1970. Radar arrays were introduced as a generalization of the spacing movable antennas problem to high dimensions to track and control airships. In this research project, by using combinatorial design theory, many perfect difference families and related structures such as radar arrays, homogeneous uniform difference matrices and monotonic directed designs are constructed. New results are also obtained on tracing algorithms in digital contents copyright protection.