Information on Result #520996
There is no (133, 243, 299)-net in base 2, because extracting embedded orthogonal array would yield OA(2243, 299, S2, 110), but
- 1 times code embedding in larger space [i] would yield OA(2244, 300, S2, 110), but
- the linear programming bound shows that M ≥ 727209 932038 995964 963694 786156 506719 769259 430085 807852 102717 045283 079365 167115 254635 995296 956416 / 21378 491075 472167 578125 > 2244 [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 (133, 244, 299)-net in base 2 | [i] | m-Reduction | |
| 2 | No (133, 245, 299)-net in base 2 | [i] | ||
| 3 | No (133, 246, 299)-net in base 2 | [i] | ||
| 4 | No (133, 247, 299)-net in base 2 | [i] | ||
| 5 | No (133, 248, 299)-net in base 2 | [i] | ||
| 6 | No (133, 249, 299)-net in base 2 | [i] | ||
| 7 | No (133, 250, 299)-net in base 2 | [i] | ||
| 8 | No (133, 251, 299)-net in base 2 | [i] | ||
| 9 | No (133, 252, 299)-net in base 2 | [i] | ||
| 10 | No (133, 253, 299)-net in base 2 | [i] | ||
| 11 | No (133, 254, 299)-net in base 2 | [i] | ||
| 12 | No (133, 255, 299)-net in base 2 | [i] | ||
| 13 | No (133, 256, 299)-net in base 2 | [i] | ||
| 14 | No (133, 257, 299)-net in base 2 | [i] | ||
| 15 | No (133, 258, 299)-net in base 2 | [i] | ||
| 16 | No (133, 259, 299)-net in base 2 | [i] | ||
| 17 | No (133, 260, 299)-net in base 2 | [i] | ||