Information on Result #599074
There is no digital (56, 155, 235)-net over F3, because extracting embedded orthogonal array would yield linear OA(3155, 235, F3, 99) (dual of [235, 80, 100]-code), but
- residual code [i] would yield OA(356, 135, S3, 33), but
- the linear programming bound shows that M ≥ 5 540520 515178 119714 998982 762661 978465 988205 121913 455751 263763 784143 824055 345444 731692 711420 873316 188654 321383 010897 917089 561694 445957 308942 731239 278125 / 9558 817773 928640 265890 794601 216127 677021 431399 946162 118946 281454 606414 917120 730244 821409 409342 932190 846015 398469 123832 877827 > 356 [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 (56, 156, 235)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (56, 157, 235)-net over F3 | [i] | ||