Information on Result #59748
There is no OA(461, 175, S4, 40), because 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
Mode: Bound.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(461, 175, S4, 2, 40) | [i] | Depth Reduction | |
| 2 | No (21, 61, 175)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 3 | No linear OA(4221, 336, F4, 160) (dual of [336, 115, 161]-code) | [i] | Residual Code | |