Information on Result #62371
There is no OA(9112, 130, S9, 98), because the linear programming bound shows that M ≥ 102044 798726 074157 946342 526694 215757 184839 498802 434893 273680 913908 810135 229505 295636 373747 351906 016797 225362 681955 238106 940191 / 1 306729 034666 969375 > 9112
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OA(9113, 131, S9, 99) | [i] | Truncation | |
| 2 | No OOA(9113, 130, S9, 2, 99) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(9112, 130, S9, 2, 98) | [i] | Depth Reduction | |
| 4 | No OOA(9112, 130, S9, 3, 98) | [i] | ||
| 5 | No (14, 112, 130)-net in base 9 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No linear OA(9113, 256, F9, 98) (dual of [256, 143, 99]-code) | [i] | Construction Y1 (Bound) | |