The Quaternary Complex Hadamard Conjecture of order 2 n

نویسندگان

  • K. D. E. Dhananjaya
  • A. I Perera
چکیده

ABSTRACT: In this paper, a complete construction of quaternary complex Hadamard matrices of order 2 n is obtained using the method of Sylvester construction and Williamson construction. Williamson construction has been generalized to obtain any kind of Hadamard matrices (Complex or Real Numbers). Non-equivalent family of Hadamard Matrices can be obtained using the Generalized Williamson construction. Finally we have discussed the Hadamard design in equivalent family of Hadamard matrices and nonequivalent family of hadamard matrices using the MATLAB. As a future work we hope to construct some skew-complex Hadamard matrices using the above construction method.

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تاریخ انتشار 2017