Information on Result #599673
There is no digital (70, 242, 435)-net over F4, because extracting embedded orthogonal array would yield linear OA(4242, 435, F4, 172) (dual of [435, 193, 173]-code), but
- residual code [i] would yield OA(470, 262, S4, 43), but
- the linear programming bound shows that M ≥ 45 983165 517068 297448 511524 093141 662826 825837 816964 700852 432473 444189 329902 728330 463517 081600 / 32 437855 549903 223644 246089 638836 795109 698224 516577 > 470 [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 (70, 243, 435)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (70, 244, 435)-net over F4 | [i] | ||
| 3 | No digital (70, 245, 435)-net over F4 | [i] | ||