Information on Result #59687
There is no OA(452, 119, S4, 36), because the linear programming bound shows that M ≥ 357 859286 624924 007499 700605 808588 465393 308876 978703 840422 989308 837582 985335 138623 209171 597503 690371 497984 / 17 092119 397133 148679 798998 224288 670000 327306 475640 461791 263157 951334 577147 > 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, 119, S4, 2, 36) | [i] | Depth Reduction | |
| 2 | No OOA(452, 119, S4, 3, 36) | [i] | ||
| 3 | No (16, 52, 119)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4196, 264, F4, 144) (dual of [264, 68, 145]-code) | [i] | Residual Code | |