Information on Result #560356
There is no linear OOA(4195, 374, F4, 2, 139) (dual of [(374, 2), 553, 140]-NRT-code), because 3 step m-reduction would yield linear OA(4192, 374, F4, 136) (dual of [374, 182, 137]-code), but
- residual code [i] would yield OA(456, 237, S4, 34), but
- the linear programming bound shows that M ≥ 227 819482 170490 726334 286831 192651 607943 130369 749048 513507 843112 960000 000000 / 43777 691396 586787 052635 611770 906797 710989 > 456 [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(4195, 374, F4, 3, 139) (dual of [(374, 3), 927, 140]-NRT-code) | [i] | Depth Reduction | |