Research Article

Classification of Boolean Functions Where Affine Functions Are Uniformly Distributed

Table 2

XOR values of class 1 of 3-variable Boolean functions.

XOR 024681012143234363840424446

0 0 2 4 6 8 10 12 14 32 34 36 38 40 42 44 46
2 2 0 6 4 10 8 14 12 34 32 38 36 42 40 46 44
4 4 6 0 2 12 14 8 10 36 38 32 34 44 46 40 42
6 6 4 2 0 14 12 10 8 38 36 34 32 46 44 42 40
8 8 10 12 14 0 2 4 6 40 42 44 46 32 34 36 38
1010 81412 2 0 6 4 42 40 46 44 34 32 38 36
121214 810 4 6 0 2 44 46 40 42 36 38 32 34
14141210 8 6 4 2 0 46 44 42 40 38 36 34 32
323234363840 42 44 46 0 2 4 6 8 10 12 14
343432383642 40 46 44 2 0 6 4 10 8 14 12
363638323444 46 40 42 4 6 0 2 12 14 8 10
383836343246 44 42 40 6 4 2 0 14 12 10 8
404042444632 34 36 38 8 10 12 14 0 2 4 6
424240464434 32 38 36 10 8 14 12 2 0 6 4
444446404236 38 32 34 12 14 8 10 4 6 0 2
464644424038 36 34 32 14 12 10 8 6 4 2 0