Information on Result #59717
There is no OA(456, 140, S4, 38), because the linear programming bound shows that M ≥ 33224 510089 193434 121103 982150 072093 135568 373830 671910 070349 424562 458616 197168 496640 000000 / 5 929310 526700 508468 903034 465148 531898 302680 222550 630653 > 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, 140, S4, 2, 38) | [i] | Depth Reduction | |
| 2 | No OOA(456, 140, S4, 3, 38) | [i] | ||
| 3 | No (18, 56, 140)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4208, 293, F4, 152) (dual of [293, 85, 153]-code) | [i] | Residual Code | |