The Property And Construction Of Jacket Matrix

In this paper we mainly give some constructions of Jacket matrix of order 6,someresearch on the mutual property of Jacket matrix of order 6 and the unique property ofJacket matrix of order 6 whose elements are consisted of sixth root of unity which isin the second quadrant.In the first part,we introduce the background of Jacket matrixand Jacket transform,the definition of Jacket matrix and the main achievement of thisthesis.In the second part,we introduce the basic property of Jacket matrix,the latestachievements of research on the construction and property of Jacket matrix which aremainly concentrated on order 2,order 3,order 4 and order 5.The third part is also themain part of this thesis.In detail we give the constructions of real and complex Jacketmatrix of order 6,some research on the mutual and unique property of Jacket matrixof order 6.In the last part,we give a conjecture for another unique property of Jacketmatrix of order 6.