Information on Result #547477
There is no linear OA(4251, 330, F4, 184) (dual of [330, 79, 185]-code), because residual code would yield OA(467, 145, S4, 46), but
- the linear programming bound shows that M ≥ 75449 327415 575534 134401 312271 358364 202586 988312 764269 677821 187597 326851 676773 310740 281541 900157 618938 630703 879340 724024 839258 891498 301173 934871 113793 698587 844036 163230 383972 563369 936814 080000 / 3 442382 810781 772421 076115 876775 468779 327697 682460 018151 373513 549713 415301 402628 670590 013076 362535 108026 742348 698089 724569 107664 952341 600266 478360 191877 > 467 [i]
Mode: Bound (linear).
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4252, 331, F4, 185) (dual of [331, 79, 186]-code) | [i] | Truncation | |
| 2 | No linear OA(4253, 332, F4, 186) (dual of [332, 79, 187]-code) | [i] | ||
| 3 | No linear OA(4254, 333, F4, 187) (dual of [333, 79, 188]-code) | [i] | ||
| 4 | No linear OOA(4252, 330, F4, 2, 185) (dual of [(330, 2), 408, 186]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4253, 330, F4, 2, 186) (dual of [(330, 2), 407, 187]-NRT-code) | [i] | ||
| 6 | No linear OOA(4254, 330, F4, 2, 187) (dual of [(330, 2), 406, 188]-NRT-code) | [i] | ||
| 7 | No linear OOA(4251, 330, F4, 2, 184) (dual of [(330, 2), 409, 185]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4251, 330, F4, 3, 184) (dual of [(330, 3), 739, 185]-NRT-code) | [i] | ||
| 9 | No digital (67, 251, 330)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |