Applied Mathematics Letters
Conditions are given which are necessary and sufficient to ensure invariance of an M-sequence under periodic rearrangement. In conjunction with a certain uniformity property of polynomial coefficients, these conditions yield a simple method by which complex Hadamard matrices with cyclic core can be constructed. In such cases, a real p-ary linear cyclic error correcting code may be associated with the complex Hadamard matrix.
Original Publication Citation
Cooke, C. H., & Heng, I. (1999). Polynomial construction of complex Hadamard matrices with cyclic core. Applied Mathematics Letters, 12(1), 87-93. doi:10.1016/s0893-9659(98)00131-1
Cooke, C. H. and Heng, I., "Polynomial Construction of Complex Hadamard Matrices with Cyclic Core" (1999). Mathematics & Statistics Faculty Publications. 131.