Information on Result #599436
There is no digital (41, 149, 239)-net over F4, because extracting embedded orthogonal array would yield linear OA(4149, 239, F4, 108) (dual of [239, 90, 109]-code), but
- residual code [i] would yield OA(441, 130, S4, 27), but
- the linear programming bound shows that M ≥ 21 043123 812010 240591 636510 926917 514688 253132 800000 / 4 066822 030762 196031 534869 > 441 [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 (41, 150, 239)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (41, 151, 239)-net over F4 | [i] | ||
| 3 | No digital (41, 152, 239)-net over F4 | [i] | ||