Information on Result #561114
There is no linear OOA(4228, 350, F4, 2, 165) (dual of [(350, 2), 472, 166]-NRT-code), because 1 step m-reduction would yield linear OA(4227, 350, F4, 164) (dual of [350, 123, 165]-code), but
- residual code [i] would yield OA(463, 185, S4, 41), but
- the linear programming bound shows that M ≥ 61 899957 150953 106035 135074 637879 046641 791483 715273 894502 688876 097802 046438 481549 501189 324800 / 720746 857989 042001 933213 860469 455977 050620 069897 655507 > 463 [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(4228, 350, F4, 3, 165) (dual of [(350, 3), 822, 166]-NRT-code) | [i] | Depth Reduction | |