Information on Result #553223
There is no linear OOA(2189, 233, F2, 2, 91) (dual of [(233, 2), 277, 92]-NRT-code), because 1 step m-reduction would yield linear OA(2188, 233, F2, 90) (dual of [233, 45, 91]-code), but
- residual code [i] would yield OA(298, 142, S2, 45), but
- 1 times truncation [i] would yield OA(297, 141, S2, 44), but
- the linear programming bound shows that M ≥ 33406 063517 297373 977917 219831 876457 216369 229824 / 189199 322419 332537 > 297 [i]
- 1 times truncation [i] would yield OA(297, 141, 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(2189, 233, F2, 3, 91) (dual of [(233, 3), 510, 92]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2189, 233, F2, 4, 91) (dual of [(233, 4), 743, 92]-NRT-code) | [i] | ||
| 3 | No linear OOA(2189, 233, F2, 5, 91) (dual of [(233, 5), 976, 92]-NRT-code) | [i] | ||
| 4 | No linear OOA(2189, 233, F2, 6, 91) (dual of [(233, 6), 1209, 92]-NRT-code) | [i] | ||
| 5 | No linear OOA(2189, 233, F2, 7, 91) (dual of [(233, 7), 1442, 92]-NRT-code) | [i] | ||
| 6 | No linear OOA(2189, 233, F2, 8, 91) (dual of [(233, 8), 1675, 92]-NRT-code) | [i] | ||