Information on Result #599631
There is no digital (65, 225, 402)-net over F4, because extracting embedded orthogonal array would yield linear OA(4225, 402, F4, 160) (dual of [402, 177, 161]-code), but
- residual code [i] would yield OA(465, 241, S4, 40), but
- the linear programming bound shows that M ≥ 28636 313347 231972 752805 477185 503707 415442 542563 939751 037786 794056 666173 178505 529917 440000 / 20 036233 121660 447341 926213 459911 614906 079382 748507 > 465 [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 (65, 226, 402)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (65, 227, 402)-net over F4 | [i] | ||
| 3 | No digital (65, 228, 402)-net over F4 | [i] | ||