Information on Result #547362
There is no linear OA(4225, 320, F4, 164) (dual of [320, 95, 165]-code), because residual code would yield OA(461, 155, S4, 41), but
- the linear programming bound shows that M ≥ 35 162266 348965 864492 465363 741528 241521 515995 482555 223491 846236 883313 207330 736210 116983 129154 519040 / 6 178619 757792 266774 478203 941876 542733 832278 327110 913669 619231 > 461 [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(4226, 321, F4, 165) (dual of [321, 95, 166]-code) | [i] | Truncation | |
| 2 | No linear OA(4227, 322, F4, 166) (dual of [322, 95, 167]-code) | [i] | ||
| 3 | No linear OA(4228, 323, F4, 167) (dual of [323, 95, 168]-code) | [i] | ||
| 4 | No linear OOA(4226, 320, F4, 2, 165) (dual of [(320, 2), 414, 166]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4227, 320, F4, 2, 166) (dual of [(320, 2), 413, 167]-NRT-code) | [i] | ||
| 6 | No linear OOA(4228, 320, F4, 2, 167) (dual of [(320, 2), 412, 168]-NRT-code) | [i] | ||
| 7 | No linear OOA(4225, 320, F4, 2, 164) (dual of [(320, 2), 415, 165]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4225, 320, F4, 3, 164) (dual of [(320, 3), 735, 165]-NRT-code) | [i] | ||
| 9 | No digital (61, 225, 320)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |