Information on Result #553074
There is no linear OOA(2184, 206, F2, 2, 91) (dual of [(206, 2), 228, 92]-NRT-code), because 1 step m-reduction would yield linear OA(2183, 206, F2, 90) (dual of [206, 23, 91]-code), but
- residual code [i] would yield OA(293, 115, S2, 45), but
- 1 times truncation [i] would yield OA(292, 114, S2, 44), but
- the linear programming bound shows that M ≥ 26 699890 767307 081769 024311 263232 / 4557 > 292 [i]
- 1 times truncation [i] would yield OA(292, 114, S2, 44), but
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 OOA(2184, 206, F2, 3, 91) (dual of [(206, 3), 434, 92]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2184, 206, F2, 4, 91) (dual of [(206, 4), 640, 92]-NRT-code) | [i] | ||
| 3 | No linear OOA(2184, 206, F2, 5, 91) (dual of [(206, 5), 846, 92]-NRT-code) | [i] | ||
| 4 | No linear OOA(2184, 206, F2, 6, 91) (dual of [(206, 6), 1052, 92]-NRT-code) | [i] | ||
| 5 | No linear OOA(2184, 206, F2, 7, 91) (dual of [(206, 7), 1258, 92]-NRT-code) | [i] | ||
| 6 | No linear OOA(2184, 206, F2, 8, 91) (dual of [(206, 8), 1464, 92]-NRT-code) | [i] | ||