Costas arrays have been widely applied in wireless communication, radar and cryptography as they have the ideal auto-ambiguity properties. Costas arrays are constructed mostly using the algebraic method, or they can be found by exhaustive search. This paper first introduces the Costas arrays and their properties and then proposes the vector-based algorithm to make depth-first search for Costas arrays since the exhaustive search algorithm based on check matrix is flawed. The experiment results

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... dicate that the algorithm based on vectors has higher search speed on a single CPU when compared with the exhaustive searching algorithm based on check matrix.