Information on Result #599469
There is no digital (46, 162, 291)-net over F4, because extracting embedded orthogonal array would yield linear OA(4162, 291, F4, 116) (dual of [291, 129, 117]-code), but
- residual code [i] would yield OA(446, 174, S4, 29), but
- the linear programming bound shows that M ≥ 8506 289708 537907 430011 501124 929257 400094 961052 942336 000000 / 1 703346 550862 338223 360728 253441 > 446 [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 (46, 163, 291)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (46, 164, 291)-net over F4 | [i] | ||
| 3 | No digital (46, 165, 291)-net over F4 | [i] | ||