Information on Result #558321
There is no linear OOA(3231, 268, F3, 2, 151) (dual of [(268, 2), 305, 152]-NRT-code), because 1 step m-reduction would yield linear OA(3230, 268, F3, 150) (dual of [268, 38, 151]-code), but
- residual code [i] would yield OA(380, 117, S3, 50), but
- the linear programming bound shows that M ≥ 43 988919 336557 262180 077487 525672 393199 697139 692324 704712 213007 / 293033 908358 491110 749536 > 380 [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(3231, 268, F3, 3, 151) (dual of [(268, 3), 573, 152]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3231, 268, F3, 4, 151) (dual of [(268, 4), 841, 152]-NRT-code) | [i] | ||
| 3 | No linear OOA(3231, 268, F3, 5, 151) (dual of [(268, 5), 1109, 152]-NRT-code) | [i] | ||