Information on Result #563080
There is no linear OOA(7104, 257, F7, 2, 86) (dual of [(257, 2), 410, 87]-NRT-code), because 2 step m-reduction would yield linear OA(7102, 257, F7, 84) (dual of [257, 155, 85]-code), but
- residual code [i] would yield OA(718, 172, S7, 12), but
- the linear programming bound shows that M ≥ 4 737429 508718 418109 748150 / 2895 922947 > 718 [i]
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(7104, 257, F7, 3, 86) (dual of [(257, 3), 667, 87]-NRT-code) | [i] | Depth Reduction | |