Information on Result #59718
There is no OA(457, 154, S4, 38), because the linear programming bound shows that M ≥ 797207 451366 565965 705395 219386 483301 387169 888973 699524 917197 426960 177348 462205 201075 404800 / 37 245253 436418 517434 670471 565022 824982 371808 117558 951421 > 457
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(457, 154, S4, 2, 38) | [i] | Depth Reduction | |
| 2 | No OOA(457, 154, S4, 3, 38) | [i] | ||
| 3 | No (19, 57, 154)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4209, 307, F4, 152) (dual of [307, 98, 153]-code) | [i] | Residual Code | |