Information on Result #60944
There is no OA(75, 29, S7, 4), because the linear programming bound shows that M ≥ 3 384381 / 197 > 75
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 OA(76, 30, S7, 5) | [i] | Truncation | |
| 2 | No OOA(75, 29, S7, 2, 4) | [i] | Depth Reduction | |
| 3 | No OOA(75, 29, S7, 3, 4) | [i] | ||
| 4 | No (1, 5, 29)-net in base 7 | [i] | Extracting Embedded Orthogonal Array | |
| 5 | No linear OA(733, 58, F7, 28) (dual of [58, 25, 29]-code) | [i] | Residual Code | |
| 6 | No linear OA(724, 29, F7, 21) (dual of [29, 5, 22]-code) | [i] | Construction Y1 (Bound) | |