Information on Result #599758
There is no digital (31, 141, 229)-net over F5, because extracting embedded orthogonal array would yield linear OA(5141, 229, F5, 110) (dual of [229, 88, 111]-code), but
- residual code [i] would yield OA(531, 118, S5, 22), but
- the linear programming bound shows that M ≥ 2 310642 313094 154045 260009 765625 000000 000000 / 481 569852 057372 130117 > 531 [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 (31, 142, 229)-net over F5 | [i] | m-Reduction | |
| 2 | No digital (31, 143, 229)-net over F5 | [i] | ||
| 3 | No digital (31, 144, 229)-net over F5 | [i] | ||
| 4 | No digital (31, 145, 229)-net over F5 | [i] | ||