Information on Result #599319
There is no digital (87, 246, 304)-net over F3, because extracting embedded orthogonal array would yield linear OA(3246, 304, F3, 159) (dual of [304, 58, 160]-code), but
- residual code [i] would yield OA(387, 144, S3, 53), but
- the linear programming bound shows that M ≥ 17223 084020 715556 855848 832250 872039 681441 493489 720994 373819 071391 134556 757302 805695 961783 787857 312694 961703 747535 992711 367021 / 52541 482507 385915 572483 476316 381490 546694 054744 799929 170031 348199 163698 205504 000000 > 387 [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 (87, 247, 304)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (87, 248, 304)-net over F3 | [i] | ||