Information on Result #599328
There is no digital (90, 249, 394)-net over F3, because extracting embedded orthogonal array would yield linear OA(3249, 394, F3, 159) (dual of [394, 145, 160]-code), but
- residual code [i] would yield linear OA(390, 234, F3, 53) (dual of [234, 144, 54]-code), but
- 1 times truncation [i] would yield linear OA(389, 233, F3, 52) (dual of [233, 144, 53]-code), but
- the Johnson bound shows that N ≤ 495 041572 388827 382337 917134 411719 483784 605757 670798 500294 630099 278193 < 3144 [i]
- 1 times truncation [i] would yield linear OA(389, 233, F3, 52) (dual of [233, 144, 53]-code), but
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 (90, 250, 394)-net over F3 | [i] | m-Reduction | |