Centered Conflict-Avoidng Codes for 4 active users.

n

Maximum code size

Example

8

1

{0,2,4,6}

9

1

{0,1,3,4}

10

1

{0,1,5,6}

11

1

{0,1,3,4}

12

1

{0,2,6,8}

13

1

{0,1,3,4}

14

1

{0,1,7,8}

15

1

{0,1,3,4}

16

1

{0,4,8,12}

17

2

{0,1,4,5} {0,2,8,10}

18

2

{0,1,9,10} {0,2,4,6}

19

2

{0,1,3,17} {0,4,8,12}

20

2

{0,2,10,12} {0,1,5,6}

21

3

{0,1,10,11} {0,2,4,6} {0,3,8,16}

22

2

{0,1,11,12} {0,2,4,6}

23

2

{0,1,3,4} {0,5,10,15}

24

2

{0,6,12,18} {0,1,3,4}

25

3

{0,1,3,4} {0,5,10,15} {0,6,12,18}

26

3

{0,1,13,14} {0,2,5,23} {0,4,10,20}

27

3

{0,1,3,4} {0,5,10,15} {0,6,13,19}

28

3

{0,1,5,6} {0,2,9,21} {0,3,11,14}

29

4

{0,1,5,6} {0,2,11,20}  {0,3,13,16} {0,7,14,21}

30

3

{0,1,15,16} {0,2,4,6} {0,5,13,18}

31

4

{0,1,4,5} {0,2,11,22} {0,6,12,18} {0,7,14,21}

32

3

{0,8,16,24} {0,1,3,4} {0,5,15,20}

33

4

{0,1,3,4} {0,5,10,15} {0,6,13,19} {0,8,16,24}

34

4

{0,1,17,18} {0,2,7,29} {0,3,11,14} {0,6,15,25}

35

6

{0,1,12,24} {0,2,4,6} {0,3,16,19} {0,5,10,15} {0,7,14,21} {0,8,17,26}

36

4

{0,2,18,20} {0,1,5,6} {0,3,11,14} {0,7,17,24}

37

6

{0,1,13,25} {0,2,4,6} {0,3,17,20} {0,5,16,21} {0,7,15,22} {0,9,18,27}

38

4

{0,1,19,20} {0,2,4,6} {0,3,11,14} {0,5,17,22}

39

5

{0,1,3,4} {0,5,11,33} {0,7,14,21} {0,8,16,24} {0,9,19,29}

40

5

{0,10,20,30} {0,1,3,4} {0,5,13,18} {0,6,15,31} {0,7,19,26}

41

6

{0,1,3,39} {0,4,15,30} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,19,28}

42

5

{0,1,21,22} {0,2,5,39} {0,4,15,31} {0,6,12,18} {0,9,19,28}

43

6

{0,1,3,4} {0,5,10,15} {0,6,17,23} {0,7,19,31} {0,8,21,29} {0,9,18,27}

44

5

{0,2,22,24} {0,1,7,8} {0,3,13,16} {0,4,15,33} {0,9,21,30}

45

6

{0,1,3,4} {0,5,10,15} {0,6,13,19} {0,8,16,24} {0,9,18,27} {0,11,22,33}

46

5

{0,11,22,33} {0,2,4,6} {0,3,11,14} {0,5,15,20} {0,9,21,30}

47

≥7

{0,1,4,5} {0,2,17,32} {0,6,12,18} {0,7,20,27} {0,8,16,24} {0,9,19,28} {0,11,22,33}

48

5

{0,11,22,33} {0,2,4,6} {0,3,11,14} {0,5,15,20} {0,9,21,30}

49

≥7

{0,1,3,4} {0,5,10,15} {0,6,23,29} {0,7,14,21} {0,8,19,38} {0,9,18,27} {0,12,24,36}

50

≥6

{0,1,25,26} {0,2,4,6} {0,3,13,16} {0,5,17,22} {0,8,19,39} {0,9,23,32}

51

≥7

{0,1,3,4} {0,5,10,15} {0,6,19,38} {0,7,14,21} {0,8,20,28} {0,9,25,34} {0,11,22,33}

52

≥6

{0,2,26,28} {0,1,5,6} {0,3,11,14} {0,7,25,32} {0,9,21,30} {0,10,23,39}

53

≥7

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,23,30} {0,8,17,25} {0,11,22,33} {0,13,26,39}

54

≥7

{0,3,27,30} {0,1,7,8} {0,2,19,37} {0,4,13,45} {0,5,21,26} {0,10,25,39} {0,11,23,34}

55

≥8

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,24,31} {0,8,27,35} {0,9,23,32} {0,11,22,33} {0,13,26,39}

56

≥6

{0,14,28,42} {0,1,3,4} {0,5,11,16} {0,7,15,22} {0,9,21,30} {0,10,23,43}

57

≥8

{0,1,3,4} {0,5,10,15} {0,6,23,40} {0,7,14,21} {0,8,20,28} {0,9,25,41} {0,11,22,33} {0,13,26,39}

58

≥7

{0,1,29,30} {0,2,4,6} {0,3,11,14} {0,5,21,26} {0,7,17,24} {0,9,27,36} {0,12,25,45}

59

≥8 {0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,25,42} {0,9,28,37} {0,22,37,43} {0,13,26,39}
60 ≥7 {0,2,30,32} {0,1,5,6} {0,3,15,18} {0,8,21,47} {0,9,29,38} {0,10,27,43} {0,11,25,36}

61

≥8

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,23,30} {0,8,29,37} {0,9,26,35} {0,11,22,33} {0,13,27,47}

62

≥7

{0,1,3,4} {0,1,17,45} {0,2,12,14} {0,3,12,52} {0,3,29,35} {0,4,23,42} {0,4,27,38}

63

≥8

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,25,33} {0,9,31,40} {0,11,27,47} {0,13,26,39}

64

≥7

{0,16,32,48} {0,1,3,4} {0, 5,13,18} {0,6,15,55} {0,7,19,26} {0,10,20,30} {0,11,25,36}

65

≥9

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,28,36} {0,9,31,40} {0,11,30,41} {0,13,26,39} {0,16,32,48}

66

≥8

{0,1,33,34} {0,2,4,6} {0,3,23,26} {0,5,13,18} {0,7,17,24} {0,9,21,30} {0,11,27,38} {0,14,29,51}

67

≥9

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,25,50} {0,9,29,38} {0,11,22,33} {0,13,26,39} {0,16,32,48}

68

≥8

{0,2,34,36} {0,1,5,6} {0,3,13,16} {0,7,21,28} {0,8,25,51} {0,9,29,38} {0,11,33,44} {0,12,31,49}

69

≥8

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,26,35} {0,11,30,41} {0,13,33,46}

70

≥8

{0,13,33,46} {0,2,4,6} {0,3,11,14} {0,5,21,26} {0,7,25,32} {0,9,31,40} {0,12,27,55} {0,13,33,46}

71

≥9

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,31,40} {0,11,30,41} {0,13,26,39} {0,17,34,51}

72

≥8

{0,18,36,54} {0,1,3,4} {0,5,11,16} {0,7,15,22} {0,9,33,42} {0,10,31,,51} {0,12,29,55} {0,13,27,40}

73

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,27,54} {0,9,35,44} {0,11,31,42} {0,13,36,49} {0,16,32,48} {0,17,34,51}

74

≥9

{0,1,37,38} {0,2,4,6} {0,3,11,14} {0,5,23,28} {0,7,19,26} {0,9,31,40} {0,10,27,57} {0,13,29,42} {0,1535,50}

75

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,30,38} {0,9,28,56} {0,11,31,42} {0,13,26,39} {0,16,32,48} {0,17,34,51}

76

≥9

{0,2,38,40} {0,1,5,6} {0,3,11,14} {0,7,27,34} {0,9,21,30} {0,10,29,57} {0,13,31,44} {0,15,37,52} {0,16,33,59}

77

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,37,46} {0,11,36,47} {0,13,35,48} {0,17,34,51} {0,19,38,57}

78

≥9

{0,1,39,40} {0,2,4,6} {0,3,11,14} {0,5,17,22} {0,7,27,34} {0,9,37,46} {0,10,23,65} {0,15,33,48} {0,16,35,59}

79

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,29,59} {0,11,36,47} {0,13,26,39} {0,17,34,51} {0,19,38,57}

80

≥9

{0,20,40,60} {0,1,3,4} {0,5,11,16} {0,7,15,22} {0,9,23,32} {0,10,31,59} {0,12,29,63} {0,13,37,50} {0,18,36,54}

81

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,35,44} {0,11,22,33} {0,13,40,53} {0,17,34,51} {0,19,39,58}

82

≥9

{0,1,41,42} {0,2,4,6} {0,3,11,14} {0,5,15,20} {0,7,19,26} {0,9,39,48} {0,13,37,50} {0,16,38,60} {0,18,36,54}

83

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,22,31} {0,11,36,47} {0,17,34,51} {0,19,38,57} {0,20,40,60}

84

≥10

{0,2,42,44} {0,1,5,6} {0,3,11,14} {0,7,19,26} {0,9,37,46} {0,10,31,63} {0,13,35,48} {0,15,39,54} {0,16,33,67} {0,18,41,61}

85

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,22,31} {0,11,37,48} {0,17,34,51} {0,19,38,57} {0,20,40,60}

86

≥10

{0,1,43,44} {0,2,4,6} {0,3,11,14} {0,5,17,22} {0,7,23,30} {0,9,37,46} {0,10,29,67} {0,13,39,52} {0,18,36,54} {0,20,41,65}

87

≥9

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,20,29} {0,13,26,39} {0,17,34,51} {0,19,38,57}

88

≥10

{0,22,44,66} {0,1,3,4} {0,5,11,16} {0,7,17,24} {0,8,21,75} {0,9,37,46} {0,12,35,65} {0,14,33,69} {0,15,41,56} {0,18,43,63}

89

≥8

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,20,29} {0,13,26,39} {0,17,34,51}

90

≥11

{0,1,45,46} {0,2,4,6} {0,3,11,14} {0,5,15,20} {0,7,31,38} {0,9,39,48} {0,12,35,67} {0,13,41,54} {0,16,33,73} {0,18,37,71} {0,21,43,64}

91

≥9

{0,1,3,4} {0,5,10,15} 0,7,14,21} {0,8,16,24} {0,9,20,29} {0,13,26,29} {0,17,34,51} {0,19,42,61} {0,22,44,66}

92

≥10

{0,2,46,48} {0,1,5,6} {0,3,11,14} {0,7,17,24} {0,9,25,34} {0,12,31,73} {0,13,39,52} {0,15,45,60} {0,18,36,54} {0,21,43,64}

93

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,20,29} {0,13,26,39} {0,17,34,51} {0,19,38,57} {0,22,44,66}

94

≥10

{0,1,47,48} {0,2,4,6} {0,3,11,14} {0,5,15,20} {0,7,19,26}{0,9,25,34} {0,13,37,50} {0,17,45,62} {0,18,36,54} {0,21,43,64}

95

≥11

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,20,84} {0,13,40,53} {0,17,45,62} {0,19,38,57} {0,22,44,66} {0,23,46,69}

96

≥11

{0,24,48,72} {0,1,3,4} {0,5,11,16} {0,7,15,22} {0,9,23,32} {0,10,27,79} {0,12,37,71} {0,13,43,56} {0,18,36,54} {0,19,39,58} {0,21,47,68}

97

≥10

{0,1,3,4} {0,5,10,15} {0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,20,29} {0,13,26,39} {0,17,34,51} {0,19,38,57} {0,22,44,66}

98

≥11

{0,1,49,50} {0,2,4,6} {0,3,11,14} {0,5,15,20} {0,7,19,26} {0,9,33,42} {0,13,47,60} {0,16,37,77} {0,17,45,62} {0,18,43,73} {0,22,44,66}

99

≥9

{0,1,3,4} {0,5,10,15} {0,0,6,12,18} {0,7,14,21} {0,8,16,24} {0,9,20,29} {0,13,26,39} {0,17,34,51} {0,19,38,57}

100

≥11

{0,2,50,52} {0,1,5,6} {0,3,11,14} {0,7,17,24} {0,9,21,30} {0,13,29,42} {0,15,41,56} {0,18,36,54} {0,19,47,66} {0,20,40,60} {0,22,45,77}