Information on Result #553511
There is no linear OOA(2198, 214, F2, 2, 99) (dual of [(214, 2), 230, 100]-NRT-code), because 1 step m-reduction would yield linear OA(2197, 214, F2, 98) (dual of [214, 17, 99]-code), but
- residual code [i] would yield OA(299, 115, S2, 49), but
- 1 times truncation [i] would yield OA(298, 114, S2, 48), but
- the linear programming bound shows that M ≥ 141449 524575 866749 536608 130468 675584 / 431375 > 298 [i]
- 1 times truncation [i] would yield OA(298, 114, S2, 48), 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(2198, 214, F2, 3, 99) (dual of [(214, 3), 444, 100]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2198, 214, F2, 4, 99) (dual of [(214, 4), 658, 100]-NRT-code) | [i] | ||
| 3 | No linear OOA(2198, 214, F2, 5, 99) (dual of [(214, 5), 872, 100]-NRT-code) | [i] | ||
| 4 | No linear OOA(2198, 214, F2, 6, 99) (dual of [(214, 6), 1086, 100]-NRT-code) | [i] | ||
| 5 | No linear OOA(2198, 214, F2, 7, 99) (dual of [(214, 7), 1300, 100]-NRT-code) | [i] | ||
| 6 | No linear OOA(2198, 214, F2, 8, 99) (dual of [(214, 8), 1514, 100]-NRT-code) | [i] | ||