Information on Result #59716
There is no OA(455, 125, S4, 38), because the linear programming bound shows that M ≥ 319 069835 724865 932418 074123 003651 341257 341197 442579 627763 661845 151026 883688 745199 999424 563055 993464 060641 280000 / 235791 539716 773839 952561 097991 148290 075568 550579 267395 341876 457603 747103 745171 > 455
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(455, 125, S4, 2, 38) | [i] | Depth Reduction | |
| 2 | No OOA(455, 125, S4, 3, 38) | [i] | ||
| 3 | No (17, 55, 125)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4207, 278, F4, 152) (dual of [278, 71, 153]-code) | [i] | Residual Code | |