Information on Result #547456
There is no linear OA(4247, 346, F4, 180) (dual of [346, 99, 181]-code), because residual code would yield OA(467, 165, S4, 45), but
- the linear programming bound shows that M ≥ 20699 363194 875685 646876 418367 204535 739040 572858 578915 564075 720939 347504 204480 515182 643491 673405 319238 146623 194291 154149 560162 674592 972800 / 923774 886925 816898 766657 500544 462579 832080 182768 042463 529757 381333 868390 078991 844533 113172 156937 > 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(4248, 347, F4, 181) (dual of [347, 99, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4249, 348, F4, 182) (dual of [348, 99, 183]-code) | [i] | ||
| 3 | No linear OA(4250, 349, F4, 183) (dual of [349, 99, 184]-code) | [i] | ||
| 4 | No linear OOA(4248, 346, F4, 2, 181) (dual of [(346, 2), 444, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4249, 346, F4, 2, 182) (dual of [(346, 2), 443, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4250, 346, F4, 2, 183) (dual of [(346, 2), 442, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4247, 346, F4, 2, 180) (dual of [(346, 2), 445, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4247, 346, F4, 3, 180) (dual of [(346, 3), 791, 181]-NRT-code) | [i] | ||
| 9 | No digital (67, 247, 346)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |