Information on Result #547450
There is no linear OA(4241, 258, F4, 180) (dual of [258, 17, 181]-code), because residual code would yield OA(461, 77, S4, 45), but
- the linear programming bound shows that M ≥ 87771 116150 262149 392012 316054 470316 656445 882368 / 16226 709967 > 461 [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(4242, 259, F4, 181) (dual of [259, 17, 182]-code) | [i] | Truncation | |
| 2 | No linear OA(4243, 260, F4, 182) (dual of [260, 17, 183]-code) | [i] | ||
| 3 | No linear OA(4244, 261, F4, 183) (dual of [261, 17, 184]-code) | [i] | ||
| 4 | No linear OOA(4242, 258, F4, 2, 181) (dual of [(258, 2), 274, 182]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4243, 258, F4, 2, 182) (dual of [(258, 2), 273, 183]-NRT-code) | [i] | ||
| 6 | No linear OOA(4244, 258, F4, 2, 183) (dual of [(258, 2), 272, 184]-NRT-code) | [i] | ||
| 7 | No linear OOA(4241, 258, F4, 2, 180) (dual of [(258, 2), 275, 181]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4241, 258, F4, 3, 180) (dual of [(258, 3), 533, 181]-NRT-code) | [i] | ||
| 9 | No digital (61, 241, 258)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |