Information on Result #547343
There is no linear OA(4223, 369, F4, 160) (dual of [369, 146, 161]-code), because residual code would yield OA(463, 208, S4, 40), but
- the linear programming bound shows that M ≥ 5 853210 937914 115965 830373 633983 054380 602394 595992 687313 196476 039443 785703 042842 624000 / 66248 338389 800632 875754 408934 650630 828021 253383 > 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(4224, 370, F4, 161) (dual of [370, 146, 162]-code) | [i] | Truncation | |
| 2 | No linear OA(4225, 371, F4, 162) (dual of [371, 146, 163]-code) | [i] | ||
| 3 | No linear OA(4226, 372, F4, 163) (dual of [372, 146, 164]-code) | [i] | ||
| 4 | No linear OOA(4224, 369, F4, 2, 161) (dual of [(369, 2), 514, 162]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4225, 369, F4, 2, 162) (dual of [(369, 2), 513, 163]-NRT-code) | [i] | ||
| 6 | No linear OOA(4226, 369, F4, 2, 163) (dual of [(369, 2), 512, 164]-NRT-code) | [i] | ||
| 7 | No linear OOA(4223, 369, F4, 2, 160) (dual of [(369, 2), 515, 161]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4223, 369, F4, 3, 160) (dual of [(369, 3), 884, 161]-NRT-code) | [i] | ||
| 9 | No digital (63, 223, 369)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |