Information on Result #599101
There is no digital (59, 170, 210)-net over F3, because extracting embedded orthogonal array would yield linear OA(3170, 210, F3, 111) (dual of [210, 40, 112]-code), but
- residual code [i] would yield OA(359, 98, S3, 37), but
- the linear programming bound shows that M ≥ 669 706575 926673 602832 294393 126699 440696 899104 765650 881469 270113 504934 632053 / 45175 106642 610955 544989 816374 596571 195177 978293 > 359 [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 (59, 171, 210)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (59, 172, 210)-net over F3 | [i] | ||