Information on Result #599681
There is no digital (71, 255, 391)-net over F4, because extracting embedded orthogonal array would yield linear OA(4255, 391, F4, 184) (dual of [391, 136, 185]-code), but
- residual code [i] would yield OA(471, 206, S4, 46), but
- the linear programming bound shows that M ≥ 12190 666552 860549 875030 280693 949215 033597 089167 787297 540990 306499 998443 349891 008938 804128 810849 723006 100908 802048 / 2095 122091 727468 263392 248874 603589 540011 988045 238608 933987 894642 253863 > 471 [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 (71, 256, 391)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (71, 257, 391)-net over F4 | [i] | ||
| 3 | No digital (71, 258, 391)-net over F4 | [i] | ||