Information on Result #59747
There is no OA(460, 159, S4, 40), because the linear programming bound shows that M ≥ 89256 467878 907972 172600 180176 154060 802582 684769 875981 969312 131469 276806 223240 396340 011634 339610 624000 / 64975 225388 099566 116025 141010 137689 743517 140250 845468 320822 687201 > 460
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(460, 159, S4, 2, 40) | [i] | Depth Reduction | |
| 2 | No OOA(460, 159, S4, 3, 40) | [i] | ||
| 3 | No (20, 60, 159)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4220, 320, F4, 160) (dual of [320, 100, 161]-code) | [i] | Residual Code | |