Amicable Orthogonal Designs Of Order 8 For Complex Space-Time Block Codes

New amicable orthogonal designs:AODs(8;1,1,1; 2,2,2), AODs(8;1,1,4;1,2,2), AODs(8;1,2,2; 2,2,4), AODs(8;1,2,2;1,2,4), AODs(8;1,1,2;1,2,4), AODs(8;1,2,4; 2,2,2), AODs(8; 1,1,4;1,1,2,2), AODs(8; 2,2,2,2;2,2,2,2) and AODs (8; 1, 1, 1,2; 1,2,2,2) are found by applying a new theorem or by an exhaustive search. Also some previously undecided cases of amicable pairs are demonstrated to be non-existent after a complete search of the equivalence classes for orthogonal designs.