Information on Result #547361
There is no linear OA(4224, 305, F4, 164) (dual of [305, 81, 165]-code), because residual code would yield OA(460, 140, S4, 41), but
- the linear programming bound shows that M ≥ 879403 484026 313933 129107 893130 654952 488416 854359 107391 996054 021035 128392 974988 409099 175067 144881 999812 150052 449544 895148 851200 / 619301 085252 374849 001693 023953 651889 253595 081048 920563 530321 558861 109148 317743 673454 318139 > 460 [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(4225, 306, F4, 165) (dual of [306, 81, 166]-code) | [i] | Truncation | |
| 2 | No linear OA(4226, 307, F4, 166) (dual of [307, 81, 167]-code) | [i] | ||
| 3 | No linear OA(4227, 308, F4, 167) (dual of [308, 81, 168]-code) | [i] | ||
| 4 | No linear OOA(4225, 305, F4, 2, 165) (dual of [(305, 2), 385, 166]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4226, 305, F4, 2, 166) (dual of [(305, 2), 384, 167]-NRT-code) | [i] | ||
| 6 | No linear OOA(4227, 305, F4, 2, 167) (dual of [(305, 2), 383, 168]-NRT-code) | [i] | ||
| 7 | No linear OOA(4224, 305, F4, 2, 164) (dual of [(305, 2), 386, 165]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4224, 305, F4, 3, 164) (dual of [(305, 3), 691, 165]-NRT-code) | [i] | ||
| 9 | No digital (60, 224, 305)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |