Information on Result #60103
There is no OA(4114, 146, S4, 81), because the linear programming bound shows that M ≥ 7 594596 073360 304072 815867 736592 315637 386549 140598 576996 791410 829396 630589 236390 143121 686528 / 15336 256272 900153 260065 > 4114
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(4114, 146, S4, 2, 81) | [i] | Depth Reduction | |
| 2 | No OOA(4114, 146, S4, 3, 81) | [i] | ||
| 3 | No (33, 114, 146)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4115, 219, F4, 81) (dual of [219, 104, 82]-code) | [i] | Construction Y1 (Bound) | |