Information on Result #547493
There is no linear OA(4254, 296, F4, 188) (dual of [296, 42, 189]-code), because residual code would yield OA(466, 107, S4, 47), but
- the linear programming bound shows that M ≥ 877667 617526 699604 115459 206661 960900 469804 406919 637481 696619 379668 118193 820628 156416 / 152 206215 688292 487856 759376 046017 491747 653675 > 466 [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(4255, 297, F4, 189) (dual of [297, 42, 190]-code) | [i] | Truncation | |
| 2 | No linear OA(4256, 298, F4, 190) (dual of [298, 42, 191]-code) | [i] | ||
| 3 | No linear OA(4257, 299, F4, 191) (dual of [299, 42, 192]-code) | [i] | ||
| 4 | No linear OOA(4255, 296, F4, 2, 189) (dual of [(296, 2), 337, 190]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4256, 296, F4, 2, 190) (dual of [(296, 2), 336, 191]-NRT-code) | [i] | ||
| 6 | No linear OOA(4257, 296, F4, 2, 191) (dual of [(296, 2), 335, 192]-NRT-code) | [i] | ||
| 7 | No linear OOA(4254, 296, F4, 2, 188) (dual of [(296, 2), 338, 189]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4254, 296, F4, 3, 188) (dual of [(296, 3), 634, 189]-NRT-code) | [i] | ||
| 9 | No digital (66, 254, 296)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |