A Construction for {0, 1, - 1} Orthogonal Matrices Visualized

摘要

Propus is a construction for orthogonal ±1 matrices, which is based on a variation of the Williamson array, called the propus array [A B B D B D -A-B B -A -D B D -B B-A] This array showed how a picture made is easy to see the construction method. We have explored further how a picture is worth ten thousand words. We give variations of the above array to allow for more general matrices than symmetric Williamson propus mat rices. One such is the Generalized Propus Array (GP).