Information on Result #560044
There is no linear OOA(4170, 283, F4, 2, 123) (dual of [(283, 2), 396, 124]-NRT-code), because 3 step m-reduction would yield linear OA(4167, 283, F4, 120) (dual of [283, 116, 121]-code), but
- residual code [i] would yield OA(447, 162, S4, 30), but
- the linear programming bound shows that M ≥ 661 618547 319544 075336 945316 804054 288235 251664 473292 800000 / 32634 021485 375754 527704 375031 > 447 [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(4170, 283, F4, 3, 123) (dual of [(283, 3), 679, 124]-NRT-code) | [i] | Depth Reduction | |