Information on Result #59700
There is no OA(452, 100, S4, 37), because the linear programming bound shows that M ≥ 122286 562316 677400 710065 247950 699724 199256 311251 272039 790450 228019 543203 578727 206911 566962 340550 130811 972817 601855 688395 354953 747543 223204 680493 432832 / 5909 445624 660275 177735 061262 841863 583710 628534 785955 840883 780789 693140 214269 486067 169858 699936 055397 157033 616741 653933 > 452
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(452, 100, S4, 2, 37) | [i] | Depth Reduction | |
| 2 | No OOA(452, 100, S4, 3, 37) | [i] | ||
| 3 | No (15, 52, 100)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4200, 249, F4, 148) (dual of [249, 49, 149]-code) | [i] | Residual Code | |