Information on Result #599187
There is no digital (70, 199, 253)-net over F3, because extracting embedded orthogonal array would yield linear OA(3199, 253, F3, 129) (dual of [253, 54, 130]-code), but
- residual code [i] would yield OA(370, 123, S3, 43), but
- the linear programming bound shows that M ≥ 40338 240718 208992 350334 953494 510547 694172 549255 456255 885012 220252 474180 796510 882011 301956 798022 532555 972566 923130 139936 591655 932172 328924 227210 945655 281618 925647 476596 995177 / 14 454896 235321 758861 324439 272066 920022 144150 020729 906272 529899 398511 133119 936981 919864 050312 440083 118680 206478 896586 841124 145201 887588 531250 > 370 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (70, 200, 253)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (70, 201, 253)-net over F3 | [i] | ||