Information on Result #557242
There is no linear OOA(3191, 206, F3, 2, 127) (dual of [(206, 2), 221, 128]-NRT-code), because 1 step m-reduction would yield linear OA(3190, 206, F3, 126) (dual of [206, 16, 127]-code), but
- residual code [i] would yield OA(364, 79, S3, 42), but
- the linear programming bound shows that M ≥ 1127 088319 766791 916099 558651 458916 971683 / 304 050635 > 364 [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(3191, 206, F3, 3, 127) (dual of [(206, 3), 427, 128]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3191, 206, F3, 4, 127) (dual of [(206, 4), 633, 128]-NRT-code) | [i] | ||
| 3 | No linear OOA(3191, 206, F3, 5, 127) (dual of [(206, 5), 839, 128]-NRT-code) | [i] | ||