Information on Result #547336
There is no linear OA(4216, 259, F4, 160) (dual of [259, 43, 161]-code), because residual code would yield OA(456, 98, S4, 40), but
- the linear programming bound shows that M ≥ 108 858270 389765 832134 899494 245555 240896 445146 215984 684712 894959 792949 029119 197184 / 19965 002432 218887 804054 871233 298540 608350 321175 > 456 [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(4217, 260, F4, 161) (dual of [260, 43, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4218, 261, F4, 162) (dual of [261, 43, 163]-code) | [i] | ||
| 3 | No linear OA(4219, 262, F4, 163) (dual of [262, 43, 164]-code) | [i] | ||
| 4 | No linear OOA(4217, 259, F4, 2, 161) (dual of [(259, 2), 301, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4218, 259, F4, 2, 162) (dual of [(259, 2), 300, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4219, 259, F4, 2, 163) (dual of [(259, 2), 299, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4216, 259, F4, 2, 160) (dual of [(259, 2), 302, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4216, 259, F4, 3, 160) (dual of [(259, 3), 561, 161]-NRT-code) | [i] | ||
| 9 | No digital (56, 216, 259)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |