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Let <math>\mathbf {A}_0= \left[ \begin{array}{rrrr} -1 & 1 \\ 1 & 1\\ \end{array} \right],</math> and <math>\mathbf {A}_1= \left[ \begin{array}{rrrr} -1 & -1 \\ -1 & 1\\ \end{array} \right],</math>, then the matrix <math>[\mathbf {A}]_N</math> is given by
:<math>
[\mathbf {A}]_4= \left[ \begin{array}{rrrr} -1 & 1 & -1 & -1\\ 1 & 1 & -1 & 1 \\ -1 & 1 & -1 & -1 \\ 1 & 1 & -1 & 1 \\ \end{array} \right],</math>, when N=2p and p=2.
:<math>[\mathbf {A}]_4 </math>⇒<math>
\left[ \begin{array}{rrrr} U & C & A & G\\ \end{array} \right]^T\otimes\left[ \begin{array}{rrrr} U & C & A & G\\ \end{array} \right]\otimes\left[ \begin{array}{rrrr} U & C & A & G\\ \end{array} \right]^T, </math>
where ''U'', ''C'', ''A'', ''G'' denotes the amount of the DNA nucleobases and the matrix <math>[\mathbf {A}]_4 </math> is the block circulant Jacket matrix which leads to the principle of the Antagonism
== References ==
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