Information on Result #61000
There is no OA(721, 25, S7, 19), because the linear programming bound shows that M ≥ 105 565168 311740 677323 / 184 > 721
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(722, 26, S7, 20) | [i] | Truncation | |
| 2 | No OOA(721, 25, S7, 2, 19) | [i] | Depth Reduction | |
| 3 | No linear OA(722, 46, F7, 19) (dual of [46, 24, 20]-code) | [i] | Construction Y1 (Bound) | |