Information on Result #548026
There is no linear OA(9113, 256, F9, 98) (dual of [256, 143, 99]-code), because construction Y1 would yield
- OA(9112, 130, S9, 98), but
- 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 [i]
- linear OA(9143, 256, F9, 126) (dual of [256, 113, 127]-code), but
- discarding factors / shortening the dual code would yield linear OA(9143, 217, F9, 126) (dual of [217, 74, 127]-code), but
- residual code [i] would yield OA(917, 90, S9, 14), but
- the linear programming bound shows that M ≥ 536 950364 429691 518020 184925 / 29374 921357 > 917 [i]
- residual code [i] would yield OA(917, 90, S9, 14), but
- discarding factors / shortening the dual code would yield linear OA(9143, 217, F9, 126) (dual of [217, 74, 127]-code), but
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(9113, 256, F9, 2, 98) (dual of [(256, 2), 399, 99]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(9113, 256, F9, 3, 98) (dual of [(256, 3), 655, 99]-NRT-code) | [i] | ||
| 3 | No digital (15, 113, 256)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |