Information on Result #523960
There is no (6, 96, 107)-net in base 16, because extracting embedded orthogonal array would yield OA(1696, 107, S16, 90), but
- the linear programming bound shows that M ≥ 632381 165715 575607 270607 577961 002582 507033 932404 234102 073968 038308 365606 364351 282586 241545 781633 648349 739341 287044 099254 255616 / 15885 182313 > 1696 [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 (6, 97, 107)-net in base 16 | [i] | m-Reduction | |
| 2 | No (6, 98, 107)-net in base 16 | [i] | ||
| 3 | No (6, 99, 107)-net in base 16 | [i] | ||
| 4 | No (6, 100, 107)-net in base 16 | [i] | ||
| 5 | No (6, 101, 107)-net in base 16 | [i] | ||
| 6 | No (6, 102, 107)-net in base 16 | [i] | ||
| 7 | No (6, 103, 107)-net in base 16 | [i] | ||
| 8 | No (6, 104, 107)-net in base 16 | [i] | ||
| 9 | No (6, 105, 107)-net in base 16 | [i] | ||
| 10 | No (6, 106, 107)-net in base 16 | [i] | ||
| 11 | No (6, 107, 107)-net in base 16 | [i] | ||
| 12 | No (6, 108, 107)-net in base 16 | [i] | ||
| 13 | No (6, 109, 107)-net in base 16 | [i] | ||
| 14 | No (6, 110, 107)-net in base 16 | [i] | ||
| 15 | No (6, 111, 107)-net in base 16 | [i] | ||
| 16 | No (6, 112, 107)-net in base 16 | [i] | ||
| 17 | No (6, 113, 107)-net in base 16 | [i] | ||
| 18 | No (6, 114, 107)-net in base 16 | [i] | ||
| 19 | No (6, 115, 107)-net in base 16 | [i] | ||
| 20 | No (6, 116, 107)-net in base 16 | [i] | ||
| 21 | No (6, 117, 107)-net in base 16 | [i] | ||
| 22 | No (6, 118, 107)-net in base 16 | [i] | ||
| 23 | No (6, 119, 107)-net in base 16 | [i] | ||
| 24 | No (6, 120, 107)-net in base 16 | [i] | ||
| 25 | No (6, 121, 107)-net in base 16 | [i] | ||
| 26 | No (6, 122, 107)-net in base 16 | [i] | ||
| 27 | No (6, 123, 107)-net in base 16 | [i] | ||
| 28 | No (6, 124, 107)-net in base 16 | [i] | ||
| 29 | No (6, 125, 107)-net in base 16 | [i] | ||
| 30 | No (6, 126, 107)-net in base 16 | [i] | ||
| 31 | No (6, 127, 107)-net in base 16 | [i] | ||
| 32 | No (6, 128, 107)-net in base 16 | [i] | ||
| 33 | No (6, 129, 107)-net in base 16 | [i] | ||
| 34 | No (6, 130, 107)-net in base 16 | [i] | ||
| 35 | No (6, m, 107)-net in base 16 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |