Information on Result #523998
There is no (7, 111, 120)-net in base 16, because extracting embedded orthogonal array would yield OA(16111, 120, S16, 104), but
- the linear programming bound shows that M ≥ 92086 954283 537596 660104 192126 770459 664696 363604 028357 116797 528075 544556 954927 352946 662893 970276 794850 999821 883009 523266 007059 187150 407449 182208 / 1974 452051 > 16111 [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 (7, 112, 120)-net in base 16 | [i] | m-Reduction | |
| 2 | No (7, 113, 120)-net in base 16 | [i] | ||
| 3 | No (7, 114, 120)-net in base 16 | [i] | ||
| 4 | No (7, 115, 120)-net in base 16 | [i] | ||
| 5 | No (7, 116, 120)-net in base 16 | [i] | ||
| 6 | No (7, 117, 120)-net in base 16 | [i] | ||
| 7 | No (7, 118, 120)-net in base 16 | [i] | ||
| 8 | No (7, 119, 120)-net in base 16 | [i] | ||
| 9 | No (7, 120, 120)-net in base 16 | [i] | ||
| 10 | No (7, 121, 120)-net in base 16 | [i] | ||
| 11 | No (7, 122, 120)-net in base 16 | [i] | ||
| 12 | No (7, 123, 120)-net in base 16 | [i] | ||
| 13 | No (7, 124, 120)-net in base 16 | [i] | ||
| 14 | No (7, 125, 120)-net in base 16 | [i] | ||
| 15 | No (7, 126, 120)-net in base 16 | [i] | ||
| 16 | No (7, 127, 120)-net in base 16 | [i] | ||
| 17 | No (7, 128, 120)-net in base 16 | [i] | ||
| 18 | No (7, 129, 120)-net in base 16 | [i] | ||
| 19 | No (7, 130, 120)-net in base 16 | [i] | ||
| 20 | No (7, m, 120)-net in base 16 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |