Information on Result #561010
There is no linear OOA(4224, 257, F4, 2, 167) (dual of [(257, 2), 290, 168]-NRT-code), because 3 step m-reduction would yield linear OA(4221, 257, F4, 164) (dual of [257, 36, 165]-code), but
- residual code [i] would yield OA(457, 92, S4, 41), but
- the linear programming bound shows that M ≥ 6 100582 649939 373494 201236 613796 043446 468174 965411 145692 768274 219008 / 286 854938 046996 694993 355683 683465 > 457 [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(4224, 257, F4, 3, 167) (dual of [(257, 3), 547, 168]-NRT-code) | [i] | Depth Reduction | |