Information on Result #599638
There is no digital (65, 253, 282)-net over F4, because extracting embedded orthogonal array would yield linear OA(4253, 282, F4, 188) (dual of [282, 29, 189]-code), but
- residual code [i] would yield OA(465, 93, S4, 47), but
- the linear programming bound shows that M ≥ 21198 797041 584828 156035 107346 290870 848231 815238 299697 545216 / 15 452051 535358 751925 > 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, 254, 282)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (65, 255, 282)-net over F4 | [i] | ||
| 3 | No digital (65, 256, 282)-net over F4 | [i] | ||