Information on Result #562725
There is no linear OOA(5144, 229, F5, 2, 113) (dual of [(229, 2), 314, 114]-NRT-code), because 3 step m-reduction would yield linear OA(5141, 229, F5, 110) (dual of [229, 88, 111]-code), but
- residual code [i] would yield OA(531, 118, S5, 22), but
- the linear programming bound shows that M ≥ 2 310642 313094 154045 260009 765625 000000 000000 / 481 569852 057372 130117 > 531 [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(5144, 229, F5, 3, 113) (dual of [(229, 3), 543, 114]-NRT-code) | [i] | Depth Reduction | |