Information on Result #599652
There is no digital (67, 239, 380)-net over F4, because extracting embedded orthogonal array would yield linear OA(4239, 380, F4, 172) (dual of [380, 141, 173]-code), but
- residual code [i] would yield OA(467, 207, S4, 43), but
- the linear programming bound shows that M ≥ 28014 561764 993307 241664 052911 871857 702310 880709 902206 525389 902012 241710 106857 807269 754280 270102 528000 / 1 234731 917948 789567 037359 176277 481011 072922 589066 284983 746001 > 467 [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 (67, 240, 380)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (67, 241, 380)-net over F4 | [i] | ||
| 3 | No digital (67, 242, 380)-net over F4 | [i] | ||