Information on Result #547344
There is no linear OA(4224, 385, F4, 160) (dual of [385, 161, 161]-code), because residual code would yield OA(464, 224, S4, 40), but
- the linear programming bound shows that M ≥ 13361 740924 714558 183981 708538 240631 845789 107040 889033 084067 601409 088040 474771 456000 / 36 499780 543012 793452 506240 719222 345774 789003 > 464 [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(4225, 386, F4, 161) (dual of [386, 161, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4226, 387, F4, 162) (dual of [387, 161, 163]-code) | [i] | ||
| 3 | No linear OA(4227, 388, F4, 163) (dual of [388, 161, 164]-code) | [i] | ||
| 4 | No linear OOA(4225, 385, F4, 2, 161) (dual of [(385, 2), 545, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4226, 385, F4, 2, 162) (dual of [(385, 2), 544, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4227, 385, F4, 2, 163) (dual of [(385, 2), 543, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4224, 385, F4, 2, 160) (dual of [(385, 2), 546, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4224, 385, F4, 3, 160) (dual of [(385, 3), 931, 161]-NRT-code) | [i] | ||
| 9 | No digital (64, 224, 385)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |