Category:Zhegalkin indices drawn to linear patterns (image set)

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The white and red rows of the upper matrix form an 8×256 matrix,
whose columns represent natural numbers. (Compare the upper matrix in this file.)

This matrix of height 8 is drawn to height 16, by introducing empty rows, which are highlighted in gray.
The non-empty rows form a linear Boolean function, i.e. a 4-ary Walsh function (see here) or its negation.

The columns of the lower matrix are the Zhegalkin twins of those above.

The rows of both matrices are 8-ary Walsh functions (see here).
Their indices are shown in the small matrices on the left. (Compare small matrix on the left of this file.)

The image below shows, that the truth tables (in the lower matrix) have been drawn into the pattern 0000111100001111 in the same way as the indices above.
This works only for the atomic patterns, here labeled as Walsh patterns 1, 2, 4, 8.