Information on Result #552775
There is no linear OOA(2174, 191, F2, 2, 87) (dual of [(191, 2), 208, 88]-NRT-code), because 1 step m-reduction would yield linear OA(2173, 191, F2, 86) (dual of [191, 18, 87]-code), but
- residual code [i] would yield OA(287, 104, S2, 43), but
- 1 times truncation [i] would yield OA(286, 103, S2, 42), but
- the linear programming bound shows that M ≥ 158456 325028 528675 187087 900672 / 1705 > 286 [i]
- 1 times truncation [i] would yield OA(286, 103, S2, 42), 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(2174, 191, F2, 3, 87) (dual of [(191, 3), 399, 88]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2174, 191, F2, 4, 87) (dual of [(191, 4), 590, 88]-NRT-code) | [i] | ||
| 3 | No linear OOA(2174, 191, F2, 5, 87) (dual of [(191, 5), 781, 88]-NRT-code) | [i] | ||
| 4 | No linear OOA(2174, 191, F2, 6, 87) (dual of [(191, 6), 972, 88]-NRT-code) | [i] | ||
| 5 | No linear OOA(2174, 191, F2, 7, 87) (dual of [(191, 7), 1163, 88]-NRT-code) | [i] | ||
| 6 | No linear OOA(2174, 191, F2, 8, 87) (dual of [(191, 8), 1354, 88]-NRT-code) | [i] | ||