Ld(22,15,14,15,l=1)
- Thread starter Gilvandi
- Start date
michael168
Member
Irvin said:
Hi Irvin,
Interested to know how do you calculate theoretical number of combinations ? Is there is formula for this?
I only know about the full wheel calculation.
Regards,
Michael
Nick Koutras
Member
Gilvandi said:
Design(22,15,14,15) is the same as
Design(22,7,6,7)
So LD(22,7,6,7)=2680
I do not have that design
I do have the design(22,7,5,7)=262
which is the same as LD(22,15,13,15)
This design also exists with 250 blocks
For the construction you use the
complement of each block
If you wish I could built if for you.
01 02 03 04 05 06 22
01 02 03 05 09 12 17
01 02 03 06 10 16 20
01 02 03 07 08 09 22
01 02 03 07 16 18 19
01 02 03 10 11 12 22
01 02 03 13 14 15 22
01 02 03 16 17 18 22
01 02 04 08 09 10 21
01 02 04 08 11 16 21
01 02 04 09 14 17 21
01 02 04 10 12 14 19
01 02 04 11 12 18 20
01 02 05 06 07 11 20
01 02 05 06 12 14 15
01 02 06 08 09 13 17
01 02 06 15 17 18 21
01 02 07 08 11 13 15
01 02 07 09 10 15 16
01 02 07 13 17 20 21
01 02 08 10 11 18 19
01 02 09 10 13 14 20
01 03 04 06 13 14 20
01 03 04 08 12 17 18
01 03 04 09 10 16 19
01 03 04 12 13 15 21
01 03 05 07 13 14 15
01 03 05 08 10 12 13
01 03 05 10 11 17 19
01 03 05 17 18 20 21
01 03 06 07 08 14 19
01 03 06 07 11 13 18
01 03 06 11 12 17 20
01 03 07 10 15 20 21
01 03 08 09 12 13 19
01 03 08 09 14 18 21
01 03 11 13 16 19 21
01 03 11 14 15 16 17
01 04 05 06 10 19 21
01 04 05 07 11 15 20
01 04 05 07 13 16 17
01 04 06 07 08 09 15
01 04 06 07 17 18 19
01 04 07 10 12 13 14
01 04 07 13 20 21 22
01 04 07 16 19 20 22
01 04 08 11 15 18 22
01 04 09 10 15 18 20
01 04 09 12 14 17 22
01 04 09 14 15 16 18
01 04 10 11 14 18 21
01 04 13 16 19 21 22
01 05 06 08 11 14 20
01 05 07 08 12 16 21
01 05 07 12 14 18 22
01 05 08 10 15 16 17
01 05 08 12 15 16 22
01 05 08 13 18 19 20
01 05 09 10 15 17 22
01 05 09 11 13 18 22
01 05 09 14 15 19 21
01 05 10 14 19 20 22
01 05 11 13 15 18 21
01 06 07 08 10 14 17
01 06 07 11 15 17 22
01 06 08 09 16 17 20
01 06 08 10 14 18 22
01 06 08 12 13 17 22
01 06 09 10 12 18 20
01 06 09 11 14 16 22
01 06 11 12 13 15 19
01 06 12 16 19 20 21
01 07 09 11 12 14 21
01 07 09 11 16 19 20
01 07 09 12 17 18 19
01 07 10 13 19 21 22
01 07 10 16 20 21 22
01 08 09 15 17 19 20
01 08 12 14 16 17 20
01 10 12 13 16 17 18
01 10 13 16 19 20 22
01 11 12 14 16 18 19
02 03 04 06 10 13 18
02 03 04 06 12 15 16
02 03 04 08 17 19 20
02 03 05 08 09 11 21
02 03 05 08 13 14 21
02 03 05 10 11 16 21
02 03 05 12 13 19 21
02 03 05 13 16 17 20
02 03 06 07 08 12 21
02 03 07 09 10 14 18
02 03 07 11 16 17 21
02 03 08 14 15 19 20
02 03 09 11 12 19 20
02 03 10 13 15 17 19
02 03 11 12 13 20 21
02 04 05 07 08 16 19
02 04 05 08 09 10 14
02 04 05 09 13 18 19
02 04 05 13 15 20 21
02 04 06 10 15 17 20
02 04 06 11 14 15 17
02 04 07 08 09 18 20
02 04 07 08 14 16 17
02 04 07 10 15 17 18
02 04 07 12 15 17 22
02 04 08 12 13 18 22
02 04 09 10 14 18 22
02 04 09 11 15 16 22
02 04 09 12 13 14 16
02 04 11 18 19 20 21
02 05 06 07 10 13 19
02 05 06 08 14 16 18
02 05 06 12 17 18 20
02 05 07 10 14 18 21
02 05 07 10 15 18 22
02 05 07 11 13 16 22
02 05 07 14 15 17 21
02 05 08 14 19 21 22
02 05 08 17 19 20 22
02 05 09 11 15 18 19
02 05 09 12 13 16 22
02 05 10 11 13 14 16
02 05 10 15 16 17 19
02 05 11 19 20 21 22
02 05 14 17 20 21 22
02 06 07 11 13 18 22
02 06 07 12 14 16 22
02 06 08 09 10 11 12
02 06 08 10 15 16 22
02 06 09 10 13 17 22
02 06 09 11 13 16 19
02 06 09 14 19 20 21
02 07 08 12 14 15 19
02 07 10 11 12 19 21
02 07 12 13 14 16 20
02 08 10 12 17 20 21
02 08 11 14 20 21 22
02 08 11 17 19 21 22
02 08 12 13 16 18 21
02 09 11 12 13 15 18
02 09 15 16 18 20 21
02 11 13 14 17 18 19
02 11 14 17 19 20 22
03 04 05 07 11 14 19
03 04 05 07 12 17 20
03 04 05 09 10 11 20
03 04 05 11 15 18 19
03 04 05 14 16 20 21
03 04 06 12 14 16 21
03 04 07 08 10 11 13
03 04 07 09 15 18 21
03 04 07 11 14 18 22
03 04 08 10 15 17 22
03 04 08 12 14 16 22
03 04 09 11 13 17 22
03 04 10 12 14 15 17
03 05 06 07 08 09 20
03 05 06 08 15 16 18
03 05 06 09 10 11 15
03 05 06 14 17 18 19
03 05 07 08 10 17 18
03 05 07 11 15 16 22
03 05 07 12 13 17 22
03 05 08 10 13 18 22
03 05 09 10 14 16 22
03 05 11 12 14 18 21
03 06 07 09 15 17 19
03 06 07 10 14 17 22
03 06 07 12 13 16 22
03 06 08 11 13 16 22
03 06 08 12 14 17 22
03 06 09 15 20 21 22
03 06 09 18 19 20 22
03 06 11 13 14 19 21
03 06 11 16 17 18 20
03 06 15 18 19 21 22
03 07 12 14 15 16 18
03 08 09 10 12 16 19
03 08 09 13 15 16 20
03 08 11 14 15 17 21
03 09 10 13 17 18 21
03 09 10 14 16 17 21
03 09 12 15 19 21 22
03 09 12 18 20 21 22
03 10 12 14 18 19 20
03 12 15 18 19 20 22
04 05 06 07 08 09 22
04 05 06 07 10 14 20
04 05 06 07 12 18 21
04 05 06 09 11 13 21
04 05 06 10 11 12 22
04 05 06 11 16 17 21
04 05 06 13 14 15 22
04 05 06 16 17 18 22
04 05 08 09 15 17 18
04 05 08 11 12 15 19
04 05 09 11 12 16 20
04 05 10 11 13 16 18
04 06 07 09 11 17 21
04 06 07 10 11 12 16
04 06 07 13 14 16 18
04 06 08 09 11 18 19
04 06 08 10 12 15 20
04 06 08 13 16 17 19
04 06 09 12 13 19 20
04 07 10 13 19 20 22
04 07 10 16 19 21 22
04 07 15 16 19 20 21
04 08 09 10 12 15 21
04 08 10 13 14 17 19
04 08 13 14 18 20 21
04 09 10 11 13 17 20
04 10 13 16 20 21 22
04 11 13 14 16 19 21
04 12 13 16 17 18 19
04 12 14 15 17 19 21
05 06 07 09 13 16 21
05 06 09 10 16 18 19
05 06 10 12 13 17 21
05 06 12 14 16 17 19
05 06 13 15 16 19 20
05 07 08 11 12 13 17
05 07 09 10 12 19 20
05 07 09 11 14 17 20
05 08 09 10 17 19 21
05 08 11 14 19 20 22
05 08 11 17 20 21 22
05 09 12 13 14 15 20
05 10 12 15 18 20 21
05 11 14 17 19 21 22
06 07 11 14 15 18 20
06 07 13 15 17 18 20
06 08 09 12 13 14 18
06 08 10 11 13 20 21
06 08 10 15 18 19 21
06 08 11 15 16 17 18
06 08 17 19 20 21 22
06 09 12 15 19 20 22
06 09 12 18 19 21 22
06 10 13 14 15 16 21
06 12 15 18 20 21 22
07 08 09 10 11 12 22
07 08 09 13 14 15 22
07 08 09 16 17 18 22
07 08 10 12 13 15 18
07 08 10 16 18 20 21
07 08 11 12 18 20 21
07 08 11 13 15 19 21
07 08 14 16 18 19 21
07 09 10 13 14 15 19
07 10 11 16 17 19 20
07 13 14 17 19 20 21
08 09 11 13 14 16 19
08 10 11 14 15 16 20
09 10 11 14 15 18 20
09 10 14 17 18 19 20
09 11 12 15 16 17 21
10 11 12 13 14 15 22
10 11 12 16 17 18 22
13 14 15 16 17 18 22
Nick Koutras
Member
The result of Furedi, Szekely and Zubor is
(v choose t)(v-m+1)
C(v,k,t,m)>= -----------------------------------
(m-1 choose t-1)(k choose t)(v-t+1)
I use the above since it gives the best result for multiple L
parameter. Which is the multiplication of the result times the L parameter.
" v choose t" means v things chosen t at a time.
The application of this estimate for v=49, k=m=6, t=3 gives C(49,6,3,6)>=87.
The paper is published in Journal of Combinatorial Design vol.4,No 1, 1996, pp. 5-10.
(v choose t)(v-m+1)
C(v,k,t,m)>= -----------------------------------
(m-1 choose t-1)(k choose t)(v-t+1)
I use the above since it gives the best result for multiple L
parameter. Which is the multiplication of the result times the L parameter.
" v choose t" means v things chosen t at a time.
The application of this estimate for v=49, k=m=6, t=3 gives C(49,6,3,6)>=87.
The paper is published in Journal of Combinatorial Design vol.4,No 1, 1996, pp. 5-10.