Information on Result #599660
There is no digital (68, 240, 399)-net over F4, because extracting embedded orthogonal array would yield linear OA(4240, 399, F4, 172) (dual of [399, 159, 173]-code), but
- residual code [i] would yield OA(468, 226, S4, 43), but
- the linear programming bound shows that M ≥ 25033 445810 985059 950340 011170 691662 989505 153485 270934 663957 957692 389934 318058 423546 481065 800499 200000 000000 / 283251 267996 901380 825721 338395 747776 993628 726657 913430 519555 536299 > 468 [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 (68, 241, 399)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (68, 242, 399)-net over F4 | [i] | ||
| 3 | No digital (68, 243, 399)-net over F4 | [i] | ||