Information on Result #599624
There is no digital (64, 236, 332)-net over F4, because extracting embedded orthogonal array would yield linear OA(4236, 332, F4, 172) (dual of [332, 96, 173]-code), but
- residual code [i] would yield OA(464, 159, S4, 43), but
- the linear programming bound shows that M ≥ 45270 819771 373261 134814 974786 535179 781633 219686 501979 035125 061347 877742 643588 123815 870907 832622 000802 701749 559691 837440 / 132 156573 038196 016753 662455 730323 092222 536469 928086 508825 109263 446128 015973 837189 > 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, 237, 332)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 238, 332)-net over F4 | [i] | ||
| 3 | No digital (64, 239, 332)-net over F4 | [i] | ||