Information on Result #599628
There is no digital (64, 252, 271)-net over F4, because extracting embedded orthogonal array would yield linear OA(4252, 271, F4, 188) (dual of [271, 19, 189]-code), but
- residual code [i] would yield OA(464, 82, S4, 47), but
- the linear programming bound shows that M ≥ 42 906360 577844 236924 181238 144026 607595 077872 123904 / 112185 734375 > 464 [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 (64, 253, 271)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 254, 271)-net over F4 | [i] | ||
| 3 | No digital (64, 255, 271)-net over F4 | [i] | ||