Information on Result #547462
There is no linear OA(4253, 449, F4, 180) (dual of [449, 196, 181]-code), because residual code would yield OA(473, 268, S4, 45), but
- the linear programming bound shows that M ≥ 472 872631 524693 616571 263304 632879 333287 600071 846650 492027 623804 614698 703694 083741 742382 499726 622720 / 5 268581 092830 135391 831262 242618 253418 847780 919324 019929 > 473 [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(4254, 450, F4, 181) (dual of [450, 196, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4255, 451, F4, 182) (dual of [451, 196, 183]-code) | [i] | ||
| 3 | No linear OA(4256, 452, F4, 183) (dual of [452, 196, 184]-code) | [i] | ||
| 4 | No linear OOA(4254, 449, F4, 2, 181) (dual of [(449, 2), 644, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4255, 449, F4, 2, 182) (dual of [(449, 2), 643, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4256, 449, F4, 2, 183) (dual of [(449, 2), 642, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4253, 449, F4, 2, 180) (dual of [(449, 2), 645, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4253, 449, F4, 3, 180) (dual of [(449, 3), 1094, 181]-NRT-code) | [i] | ||
| 9 | No digital (73, 253, 449)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |