Information on Result #547341
There is no linear OA(4221, 336, F4, 160) (dual of [336, 115, 161]-code), because residual code would yield OA(461, 175, S4, 40), but
- the linear programming bound shows that M ≥ 1 798315 977868 370852 713534 848248 812726 194497 404051 298068 679657 800761 225918 150102 236050 489344 / 313133 764813 349339 900431 732581 184165 925845 010666 409433 > 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(4222, 337, F4, 161) (dual of [337, 115, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4223, 338, F4, 162) (dual of [338, 115, 163]-code) | [i] | ||
| 3 | No linear OA(4224, 339, F4, 163) (dual of [339, 115, 164]-code) | [i] | ||
| 4 | No linear OOA(4222, 336, F4, 2, 161) (dual of [(336, 2), 450, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4223, 336, F4, 2, 162) (dual of [(336, 2), 449, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4224, 336, F4, 2, 163) (dual of [(336, 2), 448, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4221, 336, F4, 2, 160) (dual of [(336, 2), 451, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4221, 336, F4, 3, 160) (dual of [(336, 3), 787, 161]-NRT-code) | [i] | ||
| 9 | No digital (61, 221, 336)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |