Jacket matrix: Difference between revisions

Revision as of 13:28, 12 April 2022

Revision as of 13:28, 12 April 2022

Line 69:

:<math>

\mathbf{C}_{N}= \left[ \begin{array}{rr} \mathbf{C}_{0} & \mathbf{C}_{1} \\ \mathbf{C}_{1} & \mathbf{C}_{0} \\ \end{array} \right]</math>

be 2x2 block matrix of order N=2p. If <math>[\mathbf{C}_{0}]_p</math> and <math>[\mathbf{C}_{1}]_p </math> are pxp Jacket matrices, then <math>[\mathbf{C}]_N </math> is the Jacket matrix if and only if

:<math>\ \mathbf{C}_{0}\mathbf{C}_{1}^{RT}+\mathbf{C}_{1}^{RT}\mathbf{C}_{0}=0. </math>

where RT is reciprocal transpose.