Information on Result #547339
There is no linear OA(4219, 305, F4, 160) (dual of [305, 86, 161]-code), because residual code would yield OA(459, 144, S4, 40), but
- the linear programming bound shows that M ≥ 267 525938 139566 369814 585811 354664 265574 017946 230036 512794 828836 515572 789957 038790 441318 522730 123561 422710 374400 / 777 477803 949531 233536 373576 188373 355366 920576 587906 617821 062112 199463 182107 > 459 [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(4220, 306, F4, 161) (dual of [306, 86, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4221, 307, F4, 162) (dual of [307, 86, 163]-code) | [i] | ||
| 3 | No linear OA(4222, 308, F4, 163) (dual of [308, 86, 164]-code) | [i] | ||
| 4 | No linear OOA(4220, 305, F4, 2, 161) (dual of [(305, 2), 390, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4221, 305, F4, 2, 162) (dual of [(305, 2), 389, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4222, 305, F4, 2, 163) (dual of [(305, 2), 388, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4219, 305, F4, 2, 160) (dual of [(305, 2), 391, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4219, 305, F4, 3, 160) (dual of [(305, 3), 696, 161]-NRT-code) | [i] | ||
| 9 | No digital (59, 219, 305)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |