Information on Result #547118
There is no linear OA(4129, 251, F4, 92) (dual of [251, 122, 93]-code), because residual code would yield OA(437, 158, S4, 23), but
- 1 times truncation [i] would yield OA(436, 157, S4, 22), but
- the linear programming bound shows that M ≥ 1 085711 389750 577086 675646 991691 769970 688000 / 226 068152 003046 919267 > 436 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(4129, 251, F4, 2, 92) (dual of [(251, 2), 373, 93]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(4129, 251, F4, 3, 92) (dual of [(251, 3), 624, 93]-NRT-code) | [i] | ||
| 3 | No digital (37, 129, 251)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |