Information on Result #547129
There is no linear OA(4140, 265, F4, 100) (dual of [265, 125, 101]-code), because residual code would yield OA(440, 164, S4, 25), but
- the linear programming bound shows that M ≥ 14 570521 423098 291305 264511 747942 665498 471933 411328 / 11 371893 759058 304198 150255 > 440 [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(4141, 266, F4, 101) (dual of [266, 125, 102]-code) | [i] | Truncation | |
| 2 | No linear OA(4142, 267, F4, 102) (dual of [267, 125, 103]-code) | [i] | ||
| 3 | No linear OA(4143, 268, F4, 103) (dual of [268, 125, 104]-code) | [i] | ||
| 4 | No linear OOA(4141, 265, F4, 2, 101) (dual of [(265, 2), 389, 102]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4142, 265, F4, 2, 102) (dual of [(265, 2), 388, 103]-NRT-code) | [i] | ||
| 6 | No linear OOA(4143, 265, F4, 2, 103) (dual of [(265, 2), 387, 104]-NRT-code) | [i] | ||
| 7 | No linear OOA(4140, 265, F4, 2, 100) (dual of [(265, 2), 390, 101]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4140, 265, F4, 3, 100) (dual of [(265, 3), 655, 101]-NRT-code) | [i] | ||
| 9 | No digital (40, 140, 265)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |