Information on Result #561468
There is no linear OOA(4240, 434, F4, 2, 171) (dual of [(434, 2), 628, 172]-NRT-code), because 3 step m-reduction would yield linear OA(4237, 434, F4, 168) (dual of [434, 197, 169]-code), but
- residual code [i] would yield OA(469, 265, S4, 42), but
- the linear programming bound shows that M ≥ 52348 985175 743312 195164 699043 560255 242722 252419 549522 172173 323504 377479 561128 758476 800000 / 141682 475264 470819 104457 406563 443902 424070 593403 > 469 [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(4240, 434, F4, 3, 171) (dual of [(434, 3), 1062, 172]-NRT-code) | [i] | Depth Reduction |