Information on Result #547319
There is no linear OA(4214, 306, F4, 156) (dual of [306, 92, 157]-code), because residual code would yield OA(458, 149, S4, 39), but
- the linear programming bound shows that M ≥ 687 429911 202260 642762 810713 800269 676548 725551 961062 930193 746529 711584 285763 934617 600000 / 7739 058251 757365 326970 583055 442734 658951 141232 199899 > 458 [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(4215, 307, F4, 157) (dual of [307, 92, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(4216, 308, F4, 158) (dual of [308, 92, 159]-code) | [i] | ||
| 3 | No linear OA(4217, 309, F4, 159) (dual of [309, 92, 160]-code) | [i] | ||
| 4 | No linear OOA(4215, 306, F4, 2, 157) (dual of [(306, 2), 397, 158]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4216, 306, F4, 2, 158) (dual of [(306, 2), 396, 159]-NRT-code) | [i] | ||
| 6 | No linear OOA(4217, 306, F4, 2, 159) (dual of [(306, 2), 395, 160]-NRT-code) | [i] | ||
| 7 | No linear OOA(4214, 306, F4, 2, 156) (dual of [(306, 2), 398, 157]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4214, 306, F4, 3, 156) (dual of [(306, 3), 704, 157]-NRT-code) | [i] | ||
| 9 | No digital (58, 214, 306)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |