Information on Result #561255
There is no linear OOA(4233, 443, F4, 2, 165) (dual of [(443, 2), 653, 166]-NRT-code), because 1 step m-reduction would yield linear OA(4232, 443, F4, 164) (dual of [443, 211, 165]-code), but
- residual code [i] would yield OA(468, 278, S4, 41), but
- the linear programming bound shows that M ≥ 9751 854148 120896 570793 936092 472808 488071 901083 469159 873923 045115 979366 400000 000000 000000 / 106042 296287 604630 552636 245594 756356 027986 690833 > 468 [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(4233, 443, F4, 3, 165) (dual of [(443, 3), 1096, 166]-NRT-code) | [i] | Depth Reduction | |