Information on Result #556373
There is no linear OOA(3136, 231, F3, 2, 86) (dual of [(231, 2), 326, 87]-NRT-code), because 2 step m-reduction would yield linear OA(3134, 231, F3, 84) (dual of [231, 97, 85]-code), but
- residual code [i] would yield OA(350, 146, S3, 28), but
- the linear programming bound shows that M ≥ 1 005327 361531 234711 866975 289182 466989 734041 755525 / 1 282251 632725 448090 129998 > 350 [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(3136, 231, F3, 3, 86) (dual of [(231, 3), 557, 87]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(3136, 231, F3, 4, 86) (dual of [(231, 4), 788, 87]-NRT-code) | [i] | ||
3 | No linear OOA(3136, 231, F3, 5, 86) (dual of [(231, 5), 1019, 87]-NRT-code) | [i] |