Information on Result #599550
There is no digital (57, 201, 340)-net over F4, because extracting embedded orthogonal array would yield linear OA(4201, 340, F4, 144) (dual of [340, 139, 145]-code), but
- residual code [i] would yield OA(457, 195, S4, 36), but
- the linear programming bound shows that M ≥ 494 490067 436667 455875 598203 818411 591542 653847 684514 372082 636620 702806 966272 / 22309 972171 916724 959618 830756 395146 773299 > 457 [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 (57, 202, 340)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (57, 203, 340)-net over F4 | [i] | ||
| 3 | No digital (57, 204, 340)-net over F4 | [i] | ||