Centered Conflict-Avoidng Codes for 5 Active Users.

n

Maximum code size

Example

10

1

{0,2,4,6,8}

11

1

{0,1,2,3,4}

12

1

{0,1,2,3,4}

13

1

{0,1,2,3,4}

14

1

{0,1,2,3,4}

15

1

{0,3,6,9,12}

16

1

{0,1,2,3,4}

17

1

{0,1,2,3,4}

18

1

{0,1,2,3,4}

19

1

{0,1,2,3,4}

20

1

{0,4,8,12,16}

21

1

{0,1,2,3,4}

22

1

{0,1,2,3,4}

23

1

{0,1,2,3,4}

24

1

{0,1,2,3,4}

25

2

{0,5,10,15,20} {0,1,2,3,4}

26

2

{0,1,2,3,4} {0,5,10,15,20}

27

2

{0,1,2,3,4} {0,5,10,15,20}

28

2

{0,1,2,3,4} {0,5,10,15,20}

29

2

{0,1,2,3,4} {0,5,10,15,20}

30

3

{0,6,12,18,24} {0,1,2,3,4} {0,5,10,15,20}

31

3

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24}

32

2

{0,1,2,3,4} {0,5,10,15,20}

33

2

{0,1,2,3,4} {0,5,10,15,20}

34

2

{0,1,2,3,4} {0,5,10,15,20}

35

4

{0,7,14,21,28} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24}

36

3

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24}

37

4

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28}

38

3

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,19,31}

39

3

{0,1,2,3,4} {0,5,10,15,20} {0,6,14,22,28}

40

4

{0,8,16,24,32} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,29}

41

3

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24}

42

5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,33}

43

3

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24}

44

5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,25,31} {0,7,14,21,28} {0,8,17,26,35}

45

6

{0,9,18,27,36} {0,1,2,3,4} {0,5,10,15,20} {0,6,17,23,34} {0,7,14,26,33} {0,8,16,24,32}

46

4

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,23,37}

47

5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,38}

48

4

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,23,39}

49

5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,27,38}

50

6

{0,10,20,30,40} {0,1,2,3,4} {0,6,17,28,39} {0,7,19,26,38} {0,8,16,29,37} {0,9,18,27,36}

51

5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,42}

52

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,29,35} {0,7,14,21,28} {0,8,19,30,41} {0,9,18,27,36}

53

≥5

{0,1,2,3,4} {0,5,10,15,20} {0, 6,12,18,24} {0,7,14,30,37} {0,8,19,27,40}

54

≥5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,27,43}

55

≥6

{0,11,22,33,44} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,23,36} {0,8,21,29,42}

56

≥5

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,47}

57

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,27,46} {0,9,22,31,44}

58

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,19,32,45} {0,7,14,21,28} {0,8,16,33,41} {0,9,18,27,36} {0,11,23,34,46}

59

≥6 {0,1,2,3,4} {0,5,16,27,32} {0,6,12,18,24} {0,7,14,21,28} {0,8,17,25,42} {0,10,20,30,40}
60 ≥6 {0,12,24,36,48} {0,1,2,3,4} {0,5,10,15,20} {0,6,22,33,44} {0,6,22,33,44} {0,8,17,26,34}

61

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,27,50} {0,9,22,35,44}

62

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,29,45} {0,7,14,21,28} {0,8,19,30,38} {0,9,18,27,36}

63

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,23,29,46} {0,7,14,21,28} {0,8,16,24,32} {0,9,18,27,36} {0,11,22,33,44} {0,12,25,37,50}

64

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,35,41} {0,7,14,31,47} {0,8,19,30,38} {0,9,18,27,36}

65

≥7

{0,13,26,39,52} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,23,54} {0,7,14,21,28} {0,8,16,24,32} {0,9,18,27,36}

66

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,57} {0,11,22,33,44}

67

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,25,54} {0,7,14,21,28} {0,8,16,24,32} {0,9,18,27,36} {0,11,22,33,44}

68

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,37,43} {0,7,14,21,28} {0,8,19,30,38} {0,9,18,27,36} {0,13,26,39,52}

69

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,23,40,46} {0,7,19,38,57} {0,8,16,24,32} {0,9,18,39,48} {0,11,22,33,44} {0,13,27,41,55}

70

≥8

{0,14,28,42,56} {0,1,2,3,4} {0,5,10,15,20} {0,6,19,38,57} {0,8,16,39,47} {0,9,18,27,36} {0,11,22,33,44} {0,12,24,41,53}

71

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,62} {0,11,22,33,44} {0,13,26,39,52}

72

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,22,28,50} {0,7,24,41,48} {0,8,27,40,53} {0,9,21,30,51} {0,11,25,36,54}

73

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,27,35,54}{0,9,25,41,50} {0,11,22,33,44} {0,13,26,39,56}

74

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,23,40,57} {0,7,14,21,28} {0,8,16,41,49} {0,9,18,27,36} {0,12,24,43,55} {0,13,26,39,52}

75

≥8

{0,15,30,45,60} {0,1,2,3,4} {0,5,10,18,67} {0,6,23,29,52} {0,7,14,21,28} {0,9,18,31,62}{0,11,22,33,44} {0,12,24,36,48}

76

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,25,42,59} {0,9,22,35,44} {0,11,27,38,57}

77

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,27,46,54} {0,9,26,43,52} {0,11,22,33,44} {0,13,29,45,61}

78

≥6

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,69} {0,13,26,39,52}

79

≥7

{0,1,2,3,4} {0,6,12,18,24} {0,7,16,23,51} {0,8,29,37,58} {0,11,22,41,60} {0,13,26,39,52}{0,14,31,45,62}

80

≥7

{0,16,32,48,64} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,25,42,50}{0,9,22,35,44}

81

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,27,35,58} {0,9,34,45,56} {0,13,26,39,52} {0,16,32,48,64}

82

≥7

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,25,73} {0,11,22,33,44} {0,13,26,39,52}

83

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,27,46,54} {0,11,22,47,58} {0,13,26,39,52} {0,16,32,49,66}

84

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,19,46,73} {0,9,31,40,62} {0,13,26,39,52} {0,16,33,50,67}

85

≥9

{0,17,34,51,68} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,43,56} {0,8,31,39,62} {0,9,28,47,66} {0,11,22,33,44} {0,16,32,48,64}

86

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,28,49,56} {0,8,16,43,59} {0,9,31,40,63} {0,11,25,36,61} {0,13,26,39,52}

87

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,33,70} {0,9,32,41,64} {0,11,22,49,60} {0,13,26,39,52}

88

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,31,48,65} {0,9,25,41,50} {0,11,22,33,44} {0,13,26,39,52}

89

≥9

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,31,54,62} {0,9,38,49,60} {0,13,26,39,52} {0,16,32,48,64} {0,17,34,53,70}

90

≥9

{0,18,36,54,72} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,31,71} {0,7,30,53,60} {0,8,35,49,63} {0,9,33,42,66} {0,13,29,45,58} {0,17,34,51,68}

91

≥9

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,25,33,62} {0,9,31,50,69} {0,11,34,45,68} {0,13,26,39,52} {0,16,32,48,64}

92

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,25,42,50} {0,11,22,33,44} {0,13,26,39,52} {0,16,35,54,73}

93

≥10

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,31,54,62} {0,9,34,43,68} {0,11,22,33,44} {0,13,26,53,66} {0,16,32,48,64} {0,17,36,55,74}

94

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,6,12,18,24} {0,8,16,33,77} {0,9,31,40,67}{0,9,31,40,67} {0,13,26,39,52}

95

≥9

{0,19,38,57,76} {0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,33,78} {0,9,32,41,68}  {0,11,22,53,64} {0,13,26,39,52}

96

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,35,77} {0,9,32,55,64} {0,11,22,33,44} {0,13,26,43,79}

97

≥10

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,27,46,54} {0,9,31,53,62} {0,11,36,47,72} {0,13,26,39,52} {0,16,32,48,64} {0,17,34,57,74}

98

≥8

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,27,87} {0,9,31,53,62} {0,13,26,39,52} {0,17,34,51,68}

99

≥9

{0,1,2,3,4} {0,5,10,15,20} {0,6,12,18,24} {0,7,14,21,28} {0,8,16,35,80} {0,9,32,41,70} {0,11,22,33,44} {0,13,26,39,52} {0,17,34,51,68}

100

≥9

{0,20,40,60,80} {0,1,2,3,4} {0,5,10,16,94} {0,7,14,21,28} {0,8,23,38,46} {0,9,18,27,36} {0,12,31,56,81} {0,13,26,39,52} {0,17,34,51,68}