Information on Result #59823
There is no OA(467, 165, S4, 45), because the linear programming bound shows that M ≥ 20699 363194 875685 646876 418367 204535 739040 572858 578915 564075 720939 347504 204480 515182 643491 673405 319238 146623 194291 154149 560162 674592 972800 / 923774 886925 816898 766657 500544 462579 832080 182768 042463 529757 381333 868390 078991 844533 113172 156937 > 467
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(467, 165, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(467, 165, S4, 3, 45) | [i] | ||
| 3 | No (22, 67, 165)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4247, 346, F4, 180) (dual of [346, 99, 181]-code) | [i] | Residual Code | |