Information on Result #59704
There is no OA(456, 159, S4, 37), because the linear programming bound shows that M ≥ 552280 967540 130556 225380 165062 844509 113927 435157 299702 522905 668351 970980 659200 000000 / 99 260712 948022 423958 535222 844990 439800 493623 078423 > 456
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(456, 159, S4, 2, 37) | [i] | Depth Reduction | |
| 2 | No OOA(456, 159, S4, 3, 37) | [i] | ||
| 3 | No (19, 56, 159)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4204, 308, F4, 148) (dual of [308, 104, 149]-code) | [i] | Residual Code | |