Information on Result #599479
There is no digital (47, 171, 267)-net over F4, because extracting embedded orthogonal array would yield linear OA(4171, 267, F4, 124) (dual of [267, 96, 125]-code), but
- residual code [i] would yield OA(447, 142, S4, 31), but
- the linear programming bound shows that M ≥ 1 426879 798802 733246 761115 948298 486619 667897 205821 276160 000000 / 71 943480 328984 731362 301117 226363 > 447 [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 (47, 172, 267)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (47, 173, 267)-net over F4 | [i] | ||
| 3 | No digital (47, 174, 267)-net over F4 | [i] | ||