Information on Result #599692
There is no digital (75, 259, 472)-net over F4, because extracting embedded orthogonal array would yield linear OA(4259, 472, F4, 184) (dual of [472, 213, 185]-code), but
- residual code [i] would yield OA(475, 287, S4, 46), but
- 1 times truncation [i] would yield OA(474, 286, S4, 45), but
- the linear programming bound shows that M ≥ 22 769120 707181 828041 954378 161822 084052 954335 244294 016427 586097 147930 001332 191588 780049 100806 553600 / 63648 956571 718794 371382 905612 240945 674126 728108 353777 > 474 [i]
- 1 times truncation [i] would yield OA(474, 286, S4, 45), 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 (75, 260, 472)-net over F4 | [i] | m-Reduction | |