Information on Result #599585
There is no digital (60, 232, 270)-net over F4, because extracting embedded orthogonal array would yield linear OA(4232, 270, F4, 172) (dual of [270, 38, 173]-code), but
- residual code [i] would yield OA(460, 97, S4, 43), but
- the linear programming bound shows that M ≥ 397 009202 024702 523768 652504 484945 932069 120818 488153 315427 343594 355263 799296 / 269 558632 232160 195053 526197 508114 230285 > 460 [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 (60, 233, 270)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (60, 234, 270)-net over F4 | [i] | ||
| 3 | No digital (60, 235, 270)-net over F4 | [i] | ||