Information on Result #547750
There is no linear OA(397, 225, F3, 59) (dual of [225, 128, 60]-code), because construction Y1 would yield
- OA(396, 144, S3, 59), but
- the linear programming bound shows that M ≥ 2236 401438 247250 718182 900374 183456 399210 453427 110900 255699 874712 354347 141530 819695 / 326304 173287 366006 276464 537104 634223 > 396 [i]
- linear OA(3128, 225, F3, 81) (dual of [225, 97, 82]-code), but
- discarding factors / shortening the dual code would yield linear OA(3128, 214, F3, 81) (dual of [214, 86, 82]-code), but
- residual code [i] would yield OA(347, 132, S3, 27), but
- the linear programming bound shows that M ≥ 101 853735 825646 993501 712845 933577 029990 584494 296875 / 3711 656810 327991 475017 244489 > 347 [i]
- residual code [i] would yield OA(347, 132, S3, 27), but
- discarding factors / shortening the dual code would yield linear OA(3128, 214, F3, 81) (dual of [214, 86, 82]-code), but
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(3131, 228, F3, 83) (dual of [228, 97, 84]-code) | [i] | Construction Y1 (Bound) | |