Conflict-Avoidng Codes for k=5 active users

n

Maximum code size

example

10

1

{0,1,2,3,4}

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

{0,1,2,3,4}

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

{0,1,2,3,4}

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

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

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

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

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

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

36

≥1

{0,1,2,3,4}

37

≥1

{0,1,2,3,4}

38

≥1

{0,1,2,3,4}

39

≥1

{0,1,2,3,4}

40

≥1

{0,1,2,3,4}