Information on Result #599570
There is no digital (59, 211, 339)-net over F4, because extracting embedded orthogonal array would yield linear OA(4211, 339, F4, 152) (dual of [339, 128, 153]-code), but
- residual code [i] would yield OA(459, 186, S4, 38), but
- the linear programming bound shows that M ≥ 458116 895032 657940 162336 762311 305276 187123 578098 709475 576222 779546 009600 / 1 358774 703882 919180 099545 580638 520853 > 459 [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 (59, 212, 339)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (59, 213, 339)-net over F4 | [i] | ||
| 3 | No digital (59, 214, 339)-net over F4 | [i] | ||