Information on Result #547340
There is no linear OA(4220, 320, F4, 160) (dual of [320, 100, 161]-code), because residual code would yield OA(460, 159, S4, 40), but
- the linear programming bound shows that M ≥ 89256 467878 907972 172600 180176 154060 802582 684769 875981 969312 131469 276806 223240 396340 011634 339610 624000 / 64975 225388 099566 116025 141010 137689 743517 140250 845468 320822 687201 > 460 [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(4221, 321, F4, 161) (dual of [321, 100, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4222, 322, F4, 162) (dual of [322, 100, 163]-code) | [i] | ||
| 3 | No linear OA(4223, 323, F4, 163) (dual of [323, 100, 164]-code) | [i] | ||
| 4 | No linear OOA(4221, 320, F4, 2, 161) (dual of [(320, 2), 419, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4222, 320, F4, 2, 162) (dual of [(320, 2), 418, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4223, 320, F4, 2, 163) (dual of [(320, 2), 417, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4220, 320, F4, 2, 160) (dual of [(320, 2), 420, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4220, 320, F4, 3, 160) (dual of [(320, 3), 740, 161]-NRT-code) | [i] | ||
| 9 | No digital (60, 220, 320)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |