Table 3: The six rules for the Type 1 operation, permutation, when applied to functions with 𝑛 = 3 variables.

RulePermutation of 𝑍

0 𝑧 0 𝑧 1 𝑧 2 𝑧 3 𝑧 4 𝑧 5 𝑧 6 𝑧 7
1 𝑧 0 𝑧 2 𝑧 1 𝑧 3 𝑧 4 𝑧 6 𝑧 5 𝑧 7
2 𝑧 0 𝑧 1 𝑧 4 𝑧 5 𝑧 2 𝑧 3 𝑧 6 𝑧 7
3 𝑧 0 𝑧 2 𝑧 4 𝑧 6 𝑧 1 𝑧 3 𝑧 5 𝑧 7
4 𝑧 0 𝑧 4 𝑧 1 𝑧 5 𝑧 2 𝑧 6 𝑧 3 𝑧 7
5 𝑧 0 𝑧 4 𝑧 2 𝑧 6 𝑧 1 𝑧 5 𝑧 3 𝑧 7