Information on Result #60077
There is no OA(4107, 130, S4, 77), because the linear programming bound shows that M ≥ 20 213620 028561 832646 942868 598790 611880 539134 918399 157755 056589 171509 921071 497216 / 683 082496 880147 > 4107
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(4108, 131, S4, 78) | [i] | Truncation | |
| 2 | No OOA(4108, 130, S4, 2, 78) | [i] | m-Reduction for OOAs | |
| 3 | No OOA(4107, 130, S4, 2, 77) | [i] | Depth Reduction | |
| 4 | No OOA(4107, 130, S4, 3, 77) | [i] | ||
| 5 | No (30, 107, 130)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |