Information on Result #553252
There is no linear OOA(2190, 239, F2, 2, 91) (dual of [(239, 2), 288, 92]-NRT-code), because 1 step m-reduction would yield linear OA(2189, 239, F2, 90) (dual of [239, 50, 91]-code), but
- residual code [i] would yield OA(299, 148, S2, 45), but
- 1 times truncation [i] would yield OA(298, 147, S2, 44), but
- the linear programming bound shows that M ≥ 386 271048 917458 443577 540946 323578 953396 125696 / 1194 549431 128209 > 298 [i]
- 1 times truncation [i] would yield OA(298, 147, 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(2190, 239, F2, 3, 91) (dual of [(239, 3), 527, 92]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2190, 239, F2, 4, 91) (dual of [(239, 4), 766, 92]-NRT-code) | [i] | ||
| 3 | No linear OOA(2190, 239, F2, 5, 91) (dual of [(239, 5), 1005, 92]-NRT-code) | [i] | ||
| 4 | No linear OOA(2190, 239, F2, 6, 91) (dual of [(239, 6), 1244, 92]-NRT-code) | [i] | ||
| 5 | No linear OOA(2190, 239, F2, 7, 91) (dual of [(239, 7), 1483, 92]-NRT-code) | [i] | ||
| 6 | No linear OOA(2190, 239, F2, 8, 91) (dual of [(239, 8), 1722, 92]-NRT-code) | [i] | ||