The Existence Of Double Large Set Of Orthogonal Arrays

The double large set of orthogonal arrays(DLOA) is a special kind of large set oforthogonal arrays(LOA). In 1993 Stinson first introduced the concept of the large setof orthogonal arrays and it can construct the resilient functions, zigzag functions andquantum error correcting codes. The double large set of orthogonal arrays has been usedin constructing multimagic rectangles and multimagic squares.In this paper, we study the existence of double large set of orthogonal arrays. Thetext consists of three parts. First we introduce the basic concept of double large setof orthogonal arrays, some existing conclusions and useful related construction methodsand the main result of this paper. The second part presents the structure methods of thelarge set of orthogonal arrays and the double large set of orthogonal arrays. Finally weo?er the proof that a number of the double large set of orthogonal arrays really exist.