Information on Result #558536
There is no linear OOA(3237, 288, F3, 2, 154) (dual of [(288, 2), 339, 155]-NRT-code), because 1 step m-reduction would yield linear OA(3236, 288, F3, 153) (dual of [288, 52, 154]-code), but
- residual code [i] would yield OA(383, 134, S3, 51), but
- the linear programming bound shows that M ≥ 625760 414962 993510 058854 039475 945995 304619 276439 915262 016003 058873 437945 073915 147163 250093 / 135 349071 693745 981183 738057 225151 833299 159482 850560 > 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(3237, 288, F3, 3, 154) (dual of [(288, 3), 627, 155]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(3237, 288, F3, 4, 154) (dual of [(288, 4), 915, 155]-NRT-code) | [i] | ||
| 3 | No linear OOA(3237, 288, F3, 5, 154) (dual of [(288, 5), 1203, 155]-NRT-code) | [i] | ||