Information on Result #523669
There is no (9, 80, 90)-net in base 9, because extracting embedded orthogonal array would yield OA(980, 90, S9, 71), but
- the linear programming bound shows that M ≥ 825617 125614 748653 438025 314237 742758 149006 797066 212440 636337 770986 951542 029890 113291 / 30 000971 > 980 [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 (9, 81, 90)-net in base 9 | [i] | m-Reduction | |
| 2 | No (9, 82, 90)-net in base 9 | [i] | ||
| 3 | No (9, 83, 90)-net in base 9 | [i] | ||
| 4 | No (9, 84, 90)-net in base 9 | [i] | ||
| 5 | No (9, 85, 90)-net in base 9 | [i] | ||
| 6 | No (9, 86, 90)-net in base 9 | [i] | ||
| 7 | No (9, 87, 90)-net in base 9 | [i] | ||
| 8 | No (9, 88, 90)-net in base 9 | [i] | ||
| 9 | No (9, 89, 90)-net in base 9 | [i] | ||
| 10 | No (9, 90, 90)-net in base 9 | [i] | ||
| 11 | No (9, 91, 90)-net in base 9 | [i] | ||
| 12 | No (9, 92, 90)-net in base 9 | [i] | ||
| 13 | No (9, 93, 90)-net in base 9 | [i] | ||
| 14 | No (9, 94, 90)-net in base 9 | [i] | ||
| 15 | No (9, 95, 90)-net in base 9 | [i] | ||
| 16 | No (9, 96, 90)-net in base 9 | [i] | ||
| 17 | No (9, 97, 90)-net in base 9 | [i] | ||
| 18 | No (9, 98, 90)-net in base 9 | [i] | ||
| 19 | No (9, 99, 90)-net in base 9 | [i] | ||
| 20 | No (9, 100, 90)-net in base 9 | [i] | ||
| 21 | No (9, 101, 90)-net in base 9 | [i] | ||
| 22 | No (9, 102, 90)-net in base 9 | [i] | ||
| 23 | No (9, 103, 90)-net in base 9 | [i] | ||
| 24 | No (9, 104, 90)-net in base 9 | [i] | ||
| 25 | No (9, 105, 90)-net in base 9 | [i] | ||
| 26 | No (9, 106, 90)-net in base 9 | [i] | ||
| 27 | No (9, 107, 90)-net in base 9 | [i] | ||
| 28 | No (9, 108, 90)-net in base 9 | [i] | ||
| 29 | No (9, 109, 90)-net in base 9 | [i] | ||
| 30 | No (9, 110, 90)-net in base 9 | [i] | ||
| 31 | No (9, 111, 90)-net in base 9 | [i] | ||
| 32 | No (9, 112, 90)-net in base 9 | [i] | ||
| 33 | No (9, 113, 90)-net in base 9 | [i] | ||
| 34 | No (9, 114, 90)-net in base 9 | [i] | ||
| 35 | No (9, 115, 90)-net in base 9 | [i] | ||
| 36 | No (9, 116, 90)-net in base 9 | [i] | ||
| 37 | No (9, 117, 90)-net in base 9 | [i] | ||
| 38 | No (9, 118, 90)-net in base 9 | [i] | ||
| 39 | No (9, 119, 90)-net in base 9 | [i] | ||
| 40 | No (9, 120, 90)-net in base 9 | [i] | ||
| 41 | No (9, 121, 90)-net in base 9 | [i] | ||
| 42 | No (9, 122, 90)-net in base 9 | [i] | ||
| 43 | No (9, 123, 90)-net in base 9 | [i] | ||
| 44 | No (9, 124, 90)-net in base 9 | [i] | ||
| 45 | No (9, 125, 90)-net in base 9 | [i] | ||
| 46 | No (9, 126, 90)-net in base 9 | [i] | ||
| 47 | No (9, 127, 90)-net in base 9 | [i] | ||
| 48 | No (9, 128, 90)-net in base 9 | [i] | ||
| 49 | No (9, 129, 90)-net in base 9 | [i] | ||
| 50 | No (9, 130, 90)-net in base 9 | [i] | ||
| 51 | No (9, 131, 90)-net in base 9 | [i] | ||
| 52 | No (9, 132, 90)-net in base 9 | [i] | ||
| 53 | No (9, 133, 90)-net in base 9 | [i] | ||
| 54 | No (9, 134, 90)-net in base 9 | [i] | ||
| 55 | No (9, 135, 90)-net in base 9 | [i] | ||
| 56 | No (9, 136, 90)-net in base 9 | [i] | ||
| 57 | No (9, 137, 90)-net in base 9 | [i] | ||
| 58 | No (9, 138, 90)-net in base 9 | [i] | ||
| 59 | No (9, 139, 90)-net in base 9 | [i] | ||
| 60 | No (9, 140, 90)-net in base 9 | [i] | ||
| 61 | No (9, 141, 90)-net in base 9 | [i] | ||
| 62 | No (9, 142, 90)-net in base 9 | [i] | ||
| 63 | No (9, 143, 90)-net in base 9 | [i] | ||
| 64 | No (9, 144, 90)-net in base 9 | [i] | ||
| 65 | No (9, 145, 90)-net in base 9 | [i] | ||
| 66 | No (9, 146, 90)-net in base 9 | [i] | ||
| 67 | No (9, 147, 90)-net in base 9 | [i] | ||
| 68 | No (9, 148, 90)-net in base 9 | [i] | ||
| 69 | No (9, 149, 90)-net in base 9 | [i] | ||
| 70 | No (9, 150, 90)-net in base 9 | [i] | ||
| 71 | No (9, m, 90)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |