Information on Result #556531
There is no linear OOA(3148, 230, F3, 2, 95) (dual of [(230, 2), 312, 96]-NRT-code), because 2 step m-reduction would yield linear OA(3146, 230, F3, 93) (dual of [230, 84, 94]-code), but
- residual code [i] would yield OA(353, 136, S3, 31), but
- the linear programming bound shows that M ≥ 28 065209 106339 096583 292950 536466 552238 923456 737666 668230 316919 703911 / 1 370741 790957 279909 955012 441247 049995 659111 > 353 [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(3148, 230, F3, 3, 95) (dual of [(230, 3), 542, 96]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3148, 230, F3, 4, 95) (dual of [(230, 4), 772, 96]-NRT-code) | [i] | ||
| 3 | No linear OOA(3148, 230, F3, 5, 95) (dual of [(230, 5), 1002, 96]-NRT-code) | [i] | ||