Table 1 A lookup table for base-9 scheme.

From: Leveraging the orthogonality of Zernike modes for robust free-space optical communication

Digits 0 1 2 3 4 5 6 7 8
\({\phi }_{{\mathrm{RM{S}}}_{1}}\) 0 0 0 0.5 0.5 0.5 −0.5 −0.5 −0.5
\({\phi }_{{\mathrm{RM{S}}}_{2}}\) 0 0.5 −0.5 0 0.5 −0.5 0 0.5 −0.5
  1. An example of lookup table to map the digits of base-9 number system with the linear combinations \({\phi }_{{\mathrm{RM{S}}}_{1}}{Z}_{6}+{\phi }_{{\mathrm{RM{S}}}_{2}}{Z}_{11}\).