how to convert C(v,k,t,t) to C(v,k,t,k)

[ogwen]

a wheel C(v,k,t,m)
one is m=t, how to convert it to m=k
for example:
4 if 4 of 6 in 10 number wheel C(10,6,4,4)
convert to
4 if 6 of 6 in 10 number wheel C(10,6,4,6)

C(10,6,4,4)<=20
2 3 5 6 7 8
1 3 7 8 9 10
1 2 4 6 8 9
1 2 3 4 5 10
4 5 6 7 9 10
2 3 4 6 7 10
1 3 4 5 7 9
2 3 4 8 9 10
1 2 5 7 8 10
3 5 6 8 9 10
1 2 3 6 7 9
2 4 5 7 8 9
1 3 4 5 6 8
1 2 5 6 9 10
1 4 6 7 8 10
2 3 4 5 6 9
1 5 6 7 8 9
1 2 3 6 8 10
3 4 5 7 8 10
1 2 4 7 9 10

C(10,6,4,6) = 3
1 2 5 6 9 10
1 2 4 6 7 10
3 4 5 7 8 9

anybody know it?
the relationship between them.

 

[Nick Koutras]

a wheel C(v,k,t,m)
one is m=t, how to convert it to m=k
for example:
4 if 4 of 6 in 10 number wheel C(10,6,4,4)
convert to
4 if 6 of 6 in 10 number wheel C(10,6,4,6)

C(10,6,4,4)<=20
2 3 5 6 7 8
1 3 7 8 9 10
1 2 4 6 8 9
1 2 3 4 5 10
4 5 6 7 9 10
2 3 4 6 7 10
1 3 4 5 7 9
2 3 4 8 9 10
1 2 5 7 8 10
3 5 6 8 9 10
1 2 3 6 7 9
2 4 5 7 8 9
1 3 4 5 6 8
1 2 5 6 9 10
1 4 6 7 8 10
2 3 4 5 6 9
1 5 6 7 8 9
1 2 3 6 8 10
3 4 5 7 8 10
1 2 4 7 9 10

C(10,6,4,6) = 3
1 2 5 6 9 10
1 2 4 6 7 10
3 4 5 7 8 9

anybody know it?
the relationship between them.

There is not relationship the way you describe it.

For both designs you shall start differently.

Start with the target parameter t=4.
10c4=210

For the 10,6,4,4 you generate
blocks of size 6 and mark the 4-tuplets that are
covered by each block
continue until all 4-tuplets are covered.


For the 10,6,4,6 follow the same procedure but you shall use the 10c6 to cover.


IHIH