Information on Result #522222
There is no (36, 100, 299)-net in base 4, because extracting embedded orthogonal array would yield OA(4100, 299, S4, 64), but
- 1 times code embedding in larger space [i] would yield OA(4101, 300, S4, 64), but
- the linear programming bound shows that M ≥ 1 231265 431537 788363 998593 064935 723340 754119 840201 132340 137144 126545 911415 806525 100699 435502 000219 063131 921131 435910 945455 478688 417027 331901 674121 045545 301803 617922 641716 838400 / 170245 555311 187291 018741 043496 578809 211994 161262 146673 891958 873123 481881 751387 033606 486355 185045 431953 178363 079839 > 4101 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (36, 101, 299)-net in base 4 | [i] | m-Reduction | |