Information on Result #523443
There is no (16, 81, 299)-net in base 8, because extracting embedded orthogonal array would yield OA(881, 299, S8, 65), but
- 1 times code embedding in larger space [i] would yield OA(882, 300, S8, 65), but
- the linear programming bound shows that M ≥ 1 461575 658793 033819 615515 552175 894397 124209 342769 960811 748966 033792 845633 554340 451389 297021 740793 974698 087503 484400 829491 186362 955908 785684 963868 096893 080049 197293 513368 354372 105486 142635 174185 275922 890421 698560 / 11256 474200 839847 987084 395537 113440 476769 891592 344323 361009 454410 735185 110050 408467 265957 238686 158386 705141 284202 047509 187429 374349 315697 > 882 [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 (16, 82, 299)-net in base 8 | [i] | m-Reduction | |
| 2 | No (16, 83, 299)-net in base 8 | [i] | ||
| 3 | No (16, 84, 299)-net in base 8 | [i] | ||
| 4 | No (16, 85, 299)-net in base 8 | [i] | ||
| 5 | No (16, 86, 299)-net in base 8 | [i] | ||
| 6 | No (16, 87, 299)-net in base 8 | [i] | ||