Information on Result #59746
There is no OA(459, 144, S4, 40), because the linear programming bound shows that M ≥ 267 525938 139566 369814 585811 354664 265574 017946 230036 512794 828836 515572 789957 038790 441318 522730 123561 422710 374400 / 777 477803 949531 233536 373576 188373 355366 920576 587906 617821 062112 199463 182107 > 459
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(459, 144, S4, 2, 40) | [i] | Depth Reduction | |
| 2 | No OOA(459, 144, S4, 3, 40) | [i] | ||
| 3 | No (19, 59, 144)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4219, 305, F4, 160) (dual of [305, 86, 161]-code) | [i] | Residual Code | |