Information on Result #557262
There is no linear OOA(3192, 213, F3, 2, 127) (dual of [(213, 2), 234, 128]-NRT-code), because 1 step m-reduction would yield linear OA(3191, 213, F3, 126) (dual of [213, 22, 127]-code), but
- residual code [i] would yield OA(365, 86, S3, 42), but
- the linear programming bound shows that M ≥ 105639 517822 541973 415942 878050 095499 770611 / 8844 615395 > 365 [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(3192, 213, F3, 3, 127) (dual of [(213, 3), 447, 128]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3192, 213, F3, 4, 127) (dual of [(213, 4), 660, 128]-NRT-code) | [i] | ||
| 3 | No linear OOA(3192, 213, F3, 5, 127) (dual of [(213, 5), 873, 128]-NRT-code) | [i] | ||