Information on Result #599421
There is no digital (39, 135, 261)-net over F4, because extracting embedded orthogonal array would yield linear OA(4135, 261, F4, 96) (dual of [261, 126, 97]-code), but
- residual code [i] would yield OA(439, 164, S4, 24), but
- the linear programming bound shows that M ≥ 253 017119 292002 552737 316772 682392 509261 807616 / 821 395315 909793 005123 > 439 [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 (39, 136, 261)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (39, 137, 261)-net over F4 | [i] | ||
| 3 | No digital (39, 138, 261)-net over F4 | [i] | ||