Keywords: Binary Walsh matrix 8; sequency.svg Binary Walsh matrix in sequency order as a product White 0 and red 1 result with modulo 2 operations Gray numbers result with normal operations The two matrices used as factors which are transposed to each other correspond to the same Walsh permutation wp 6 1 5 0 6 1 7 5 3 4 2 <br> All 6 Walsh permutations whose compression vectors are permutations of 1 5 6 could have been used instead <br> wp 6 1 5 was chosen because it is the only one with a symmetric compression matrix shown in the top left corner <br> It is the square root of wp 4 6 3 which permutes the natural ordered into the sequency ordered Hadamard matrix own mate2code Size 16 100px Walsh matrix of order 8 Walsh matrix; sequency ordered Compression matrices of 3-bit Walsh permutations Matrix multiplication |