Information on Result #553314
There is no linear OOA(2192, 214, F2, 2, 95) (dual of [(214, 2), 236, 96]-NRT-code), because 1 step m-reduction would yield linear OA(2191, 214, F2, 94) (dual of [214, 23, 95]-code), but
- residual code [i] would yield OA(297, 119, S2, 47), but
- 1 times truncation [i] would yield OA(296, 118, S2, 46), but
- the linear programming bound shows that M ≥ 3649 328393 569529 653896 227896 426496 / 35409 > 296 [i]
- 1 times truncation [i] would yield OA(296, 118, S2, 46), 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(2192, 214, F2, 3, 95) (dual of [(214, 3), 450, 96]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2192, 214, F2, 4, 95) (dual of [(214, 4), 664, 96]-NRT-code) | [i] | ||
| 3 | No linear OOA(2192, 214, F2, 5, 95) (dual of [(214, 5), 878, 96]-NRT-code) | [i] | ||
| 4 | No linear OOA(2192, 214, F2, 6, 95) (dual of [(214, 6), 1092, 96]-NRT-code) | [i] | ||
| 5 | No linear OOA(2192, 214, F2, 7, 95) (dual of [(214, 7), 1306, 96]-NRT-code) | [i] | ||
| 6 | No linear OOA(2192, 214, F2, 8, 95) (dual of [(214, 8), 1520, 96]-NRT-code) | [i] | ||