Information on Result #560055
There is no linear OOA(4171, 223, F4, 2, 127) (dual of [(223, 2), 275, 128]-NRT-code), because 3 step m-reduction would yield linear OA(4168, 223, F4, 124) (dual of [223, 55, 125]-code), but
- residual code [i] would yield OA(444, 98, S4, 31), but
- the linear programming bound shows that M ≥ 3414 029206 960280 274418 067767 340182 249392 781167 507062 000069 867201 406582 128640 000000 / 10 918790 901850 294268 885174 154273 677983 317839 404573 351291 > 444 [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(4171, 223, F4, 3, 127) (dual of [(223, 3), 498, 128]-NRT-code) | [i] | Depth Reduction | |