Category:Walsh spectra of 4-ary Boolean functions; families

 See also category: Walsh spectra of 3-ary Boolean functions; families (two matrices).

The three families shown here are of 4-ary Boolean functions with even weight.
Therefore the binary Walsh spectrum is the same for each function in the family.
It is indicated by the red background in the matrix on the right.

These images were created in the hope, that a useful representative of the family can be derived from the pattern of minus signs.
But it seems impossible to find an algorithm, that will assign families in the same clan to reprentatives in the same faction.
That would be necessary to be useful in the calculation of a clan representative.