Information on Result #556733
There is no linear OOA(3162, 193, F3, 2, 107) (dual of [(193, 2), 224, 108]-NRT-code), because 2 step m-reduction would yield linear OA(3160, 193, F3, 105) (dual of [193, 33, 106]-code), but
- residual code [i] would yield OA(355, 87, S3, 35), but
- the linear programming bound shows that M ≥ 4 080243 847169 139626 292321 742040 788787 487274 687791 / 20316 463038 499354 974208 > 355 [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(3162, 193, F3, 3, 107) (dual of [(193, 3), 417, 108]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3162, 193, F3, 4, 107) (dual of [(193, 4), 610, 108]-NRT-code) | [i] | ||
| 3 | No linear OOA(3162, 193, F3, 5, 107) (dual of [(193, 5), 803, 108]-NRT-code) | [i] | ||