Information on Result #547364
There is no linear OA(4227, 350, F4, 164) (dual of [350, 123, 165]-code), because residual code would yield OA(463, 185, S4, 41), but
- the linear programming bound shows that M ≥ 61 899957 150953 106035 135074 637879 046641 791483 715273 894502 688876 097802 046438 481549 501189 324800 / 720746 857989 042001 933213 860469 455977 050620 069897 655507 > 463 [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(4228, 351, F4, 165) (dual of [351, 123, 166]-code) | [i] | Truncation | |
| 2 | No linear OA(4229, 352, F4, 166) (dual of [352, 123, 167]-code) | [i] | ||
| 3 | No linear OA(4230, 353, F4, 167) (dual of [353, 123, 168]-code) | [i] | ||
| 4 | No linear OOA(4228, 350, F4, 2, 165) (dual of [(350, 2), 472, 166]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4229, 350, F4, 2, 166) (dual of [(350, 2), 471, 167]-NRT-code) | [i] | ||
| 6 | No linear OOA(4230, 350, F4, 2, 167) (dual of [(350, 2), 470, 168]-NRT-code) | [i] | ||
| 7 | No linear OOA(4227, 350, F4, 2, 164) (dual of [(350, 2), 473, 165]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4227, 350, F4, 3, 164) (dual of [(350, 3), 823, 165]-NRT-code) | [i] | ||
| 9 | No digital (63, 227, 350)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |