Information on Result #599580
There is no digital (60, 212, 354)-net over F4, because extracting embedded orthogonal array would yield linear OA(4212, 354, F4, 152) (dual of [354, 142, 153]-code), but
- residual code [i] would yield OA(460, 201, S4, 38), but
- the linear programming bound shows that M ≥ 73089 680874 254803 480484 380402 731584 606836 512208 238432 667847 363593 365796 276173 537280 / 52941 428031 033877 887534 646852 798421 725736 559559 > 460 [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 (60, 213, 354)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 214, 354)-net over F4 | [i] | ||
| 3 | No digital (60, 215, 354)-net over F4 | [i] | ||