Template:Inequivalent monotonic 4-ary Boolean functions
Image set Inequivalent monotonic 4-ary Boolean functions | ||
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The This is a selection of the Dedekind(4) = 168 monotonic functions, with each big equivalence class (BEC) represented by one of its functions. The function chosen as the representator of its BEC is the one with the lowest ring count vector (RCV). The lowest RCV is unique for all BECs except three with weights between 7 and 9: In BEC 297 and its complement 312 all three functions have the same RCV. In the self-complementary BEC 203 two of the twelve functions have the lowest RCV. (Compare this list.) The possible representators of these BECs are shown in the bottom right corner. In this Hasse diagram there is an arrow between the BECs and if there is an and a such that . The index numbers refer to the rational order of BECs.
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