Information on Result #547607
There is no linear OA(8166, 244, F8, 144) (dual of [244, 78, 145]-code), because residual code would yield OA(822, 99, S8, 18), but
- the linear programming bound shows that M ≥ 7 461344 900772 163012 506367 600128 688128 / 94986 278747 950549 > 822 [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 OA(8167, 245, F8, 145) (dual of [245, 78, 146]-code) | [i] | Truncation | |
| 2 | No linear OA(8168, 246, F8, 146) (dual of [246, 78, 147]-code) | [i] | ||
| 3 | No linear OA(8169, 247, F8, 147) (dual of [247, 78, 148]-code) | [i] | ||
| 4 | No linear OA(8170, 248, F8, 148) (dual of [248, 78, 149]-code) | [i] | ||
| 5 | No linear OA(8171, 249, F8, 149) (dual of [249, 78, 150]-code) | [i] | ||
| 6 | No linear OA(8172, 250, F8, 150) (dual of [250, 78, 151]-code) | [i] | ||
| 7 | No linear OA(8173, 251, F8, 151) (dual of [251, 78, 152]-code) | [i] | ||
| 8 | No linear OOA(8167, 244, F8, 2, 145) (dual of [(244, 2), 321, 146]-NRT-code) | [i] | m-Reduction for OOAs | |
| 9 | No linear OOA(8168, 244, F8, 2, 146) (dual of [(244, 2), 320, 147]-NRT-code) | [i] | ||
| 10 | No linear OOA(8169, 244, F8, 2, 147) (dual of [(244, 2), 319, 148]-NRT-code) | [i] | ||
| 11 | No linear OOA(8170, 244, F8, 2, 148) (dual of [(244, 2), 318, 149]-NRT-code) | [i] | ||
| 12 | No linear OOA(8171, 244, F8, 2, 149) (dual of [(244, 2), 317, 150]-NRT-code) | [i] | ||
| 13 | No linear OOA(8172, 244, F8, 2, 150) (dual of [(244, 2), 316, 151]-NRT-code) | [i] | ||
| 14 | No linear OOA(8173, 244, F8, 2, 151) (dual of [(244, 2), 315, 152]-NRT-code) | [i] | ||
| 15 | No linear OOA(8166, 244, F8, 2, 144) (dual of [(244, 2), 322, 145]-NRT-code) | [i] | Depth Reduction | |
| 16 | No linear OOA(8166, 244, F8, 3, 144) (dual of [(244, 3), 566, 145]-NRT-code) | [i] | ||
| 17 | No digital (22, 166, 244)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 18 | No linear OA(8106, 272, F8, 90) (dual of [272, 166, 91]-code) | [i] | Construction Y1 (Bound) | |