Principalities and dominions of 3-ary Boolean functions
| Studies of Boolean functions |
| main article |
faction size 1
| king index 0 (king 0) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(0) |
(0) |
(0) |
(0) |
| king index 104 (king 26752) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(104) |
(232) |
(150) |
(22) |
faction size 3
| king index 6 (king 1632) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(6) (18) (20) |
(102) (90) (60) |
(96) (72) (40) |
(96) (72) (40) |
| king index 110 (king 28384) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(110) (122) (124) |
(142) (178) (212) |
(246) (222) (190) |
(118) (94) (62) |
faction size 4
| king index 22 (king 5760) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(22) |
(150) |
(232) |
(104) |
(24) (36) (66) |
(120) (108) (106) |
(120) (108) (106) |
(24) (36) (66) |
| king index 42 (king 10920) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(126) |
(126) |
(126) |
(126) |
(42) (76) (112) |
(130) (132) (144) |
(252) (250) (238) |
(84) (50) (14) |
faction size 6
| king index 8 (king 2176) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(8) (32) (64) |
(136) (160) (192) |
(240) (204) (170) |
(16) (4) (2) |
(40) (72) (96) |
(40) (72) (96) |
(60) (90) (102) |
(20) (18) (6) |
| king index 14 (king 3808) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(14) (50) (84) |
(238) (250) (252) |
(144) (132) (130) |
(112) (76) (42) |
(60) (90) (102) |
(20) (18) (6) |
(20) (18) (6) |
(60) (90) (102) |
faction size 12
| king index 2 (king 680) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(2) (4) (16) |
(170) (204) (240) |
(192) (160) (136) |
(64) (32) (8) |
(30) (54) (86) |
(30) (54) (86) |
(24) (36) (66) |
(120) (108) (106) |
(10) (12) (34) (48) (68) (80) |
(34) (68) (10) (80) (12) (48) |
(48) (80) (12) (68) (10) (34) |
(80) (48) (68) (12) (34) (10) |
| king index 26 (king 6856) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(26) (28) (38) (52) (70) (82) |
(210) (180) (198) (156) (166) (154) |
(184) (216) (172) (228) (202) (226) |
(88) (56) (100) (44) (98) (74) |
(46) (58) (78) (92) (114) (116) |
(78) (114) (46) (116) (58) (92) |
(92) (116) (58) (114) (46) (78) |
(116) (92) (114) (58) (78) (46) |
| king index 44 (king 11464) | |||
|---|---|---|---|
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
|
|
|
|
(62) (94) (118) |
(190) (222) (246) |
(212) (178) (142) |
(124) (122) (110) |
(106) (108) (120) |
(66) (36) (24) |
(86) (54) (30) |
(86) (54) (30) |
(44) (56) (74) (88) (98) (100) |
(228) (216) (226) (184) (202) (172) |
(156) (180) (154) (210) (166) (198) |
(52) (28) (82) (26) (70) (38) |
overview
| principality | dominion | ||
| truth tables | Zhegalkin indices | truth tables | Zhegalkin indices |
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