Information on Result #558874
There is no linear OOA(3246, 262, F3, 2, 163) (dual of [(262, 2), 278, 164]-NRT-code), because 1 step m-reduction would yield linear OA(3245, 262, F3, 162) (dual of [262, 17, 163]-code), but
- residual code [i] would yield OA(383, 99, S3, 54), but
- the linear programming bound shows that M ≥ 212325 169720 869780 184660 026483 230346 001188 329823 / 51 112831 > 383 [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(3246, 262, F3, 3, 163) (dual of [(262, 3), 540, 164]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3246, 262, F3, 4, 163) (dual of [(262, 4), 802, 164]-NRT-code) | [i] | ||
| 3 | No linear OOA(3246, 262, F3, 5, 163) (dual of [(262, 5), 1064, 164]-NRT-code) | [i] | ||