Information on Result #599626
There is no digital (64, 244, 300)-net over F4, because extracting embedded orthogonal array would yield linear OA(4244, 300, F4, 180) (dual of [300, 56, 181]-code), but
- residual code [i] would yield OA(464, 119, S4, 45), but
- the linear programming bound shows that M ≥ 86281 259132 858652 351318 621152 193776 169011 314302 048568 574075 512291 106476 673632 920228 434592 062075 337852 335348 631534 055263 738553 834940 174592 676821 962753 440810 532864 / 242 561963 734980 780383 061022 729662 792650 160301 201736 163590 343831 386934 538599 980695 527882 064362 246641 801684 355864 415256 969895 > 464 [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 (64, 245, 300)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (64, 246, 300)-net over F4 | [i] | ||
| 3 | No digital (64, 247, 300)-net over F4 | [i] | ||