Information on Result #560172
There is no linear OOA(4182, 251, F4, 2, 134) (dual of [(251, 2), 320, 135]-NRT-code), because 2 step m-reduction would yield linear OA(4180, 251, F4, 132) (dual of [251, 71, 133]-code), but
- residual code [i] would yield OA(448, 118, S4, 33), but
- the linear programming bound shows that M ≥ 11741 391231 673162 520784 823169 575929 136281 422846 471752 288804 624247 186167 273881 600000 / 141904 351037 772816 847773 975434 784371 947508 137187 747933 > 448 [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(4182, 251, F4, 3, 134) (dual of [(251, 3), 571, 135]-NRT-code) | [i] | Depth Reduction | |