Information on Result #561119
There is no linear OOA(4228, 244, F4, 2, 171) (dual of [(244, 2), 260, 172]-NRT-code), because 3 step m-reduction would yield linear OA(4225, 244, F4, 168) (dual of [244, 19, 169]-code), but
- residual code [i] would yield OA(457, 75, S4, 42), but
- the linear programming bound shows that M ≥ 175541 891167 451460 543215 010075 896682 965259 780096 / 6 746458 181029 > 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(4228, 244, F4, 3, 171) (dual of [(244, 3), 504, 172]-NRT-code) | [i] | Depth Reduction | |