Information on Result #547626
There is no linear OA(9114, 255, F9, 99) (dual of [255, 141, 100]-code), because residual code would yield OA(915, 155, S9, 11), but
- 1 times truncation [i] would yield OA(914, 154, S9, 10), but
- the linear programming bound shows that M ≥ 9 845183 946168 672136 787115 / 427681 338151 > 914 [i]
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(9114, 255, F9, 2, 99) (dual of [(255, 2), 396, 100]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(9114, 255, F9, 3, 99) (dual of [(255, 3), 651, 100]-NRT-code) | [i] | ||
| 3 | No digital (15, 114, 255)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |