Information on Result #546368
There is no linear OA(2181, 208, F2, 88) (dual of [208, 27, 89]-code), because residual code would yield OA(293, 119, S2, 44), but
- the linear programming bound shows that M ≥ 565098 355172 141015 516806 341705 334784 / 49 635495 > 293 [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 OA(2182, 209, F2, 89) (dual of [209, 27, 90]-code) | [i] | Truncation | |
| 2 | No linear OOA(2181, 208, F2, 2, 88) (dual of [(208, 2), 235, 89]-NRT-code) | [i] | Depth Reduction | |