Information on Result #59817
There is no OA(461, 77, S4, 45), because the linear programming bound shows that M ≥ 87771 116150 262149 392012 316054 470316 656445 882368 / 16226 709967 > 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, 77, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(461, 77, S4, 3, 45) | [i] | ||
| 3 | No (16, 61, 77)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4241, 258, F4, 180) (dual of [258, 17, 181]-code) | [i] | Residual Code | |