Information on Result #599917
There is no digital (1, 26, 75)-net over F25, because extracting embedded orthogonal array would yield linear OA(2526, 75, F25, 25) (dual of [75, 49, 26]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(2549, 75, F25, 48) (dual of [75, 26, 49]-code), but
- discarding factors / shortening the dual code would yield linear OA(2549, 52, F25, 48) (dual of [52, 3, 49]-code), but
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 (1, 27, 75)-net over F25 | [i] | m-Reduction | |
| 2 | No digital (1, 28, 75)-net over F25 | [i] | ||
| 3 | No digital (1, 29, 75)-net over F25 | [i] | ||
| 4 | No digital (1, 30, 75)-net over F25 | [i] | ||
| 5 | No digital (1, 31, 75)-net over F25 | [i] | ||
| 6 | No digital (1, 32, 75)-net over F25 | [i] | ||
| 7 | No digital (1, 33, 75)-net over F25 | [i] | ||
| 8 | No digital (1, 34, 75)-net over F25 | [i] | ||
| 9 | No digital (1, 35, 75)-net over F25 | [i] | ||
| 10 | No digital (1, 36, 75)-net over F25 | [i] | ||
| 11 | No digital (1, 37, 75)-net over F25 | [i] | ||
| 12 | No digital (1, 38, 75)-net over F25 | [i] | ||
| 13 | No digital (1, 39, 75)-net over F25 | [i] | ||
| 14 | No digital (1, 40, 75)-net over F25 | [i] | ||
| 15 | No digital (1, 41, 75)-net over F25 | [i] | ||
| 16 | No digital (1, 42, 75)-net over F25 | [i] | ||
| 17 | No digital (1, 43, 75)-net over F25 | [i] | ||
| 18 | No digital (1, 44, 75)-net over F25 | [i] | ||
| 19 | No digital (1, 45, 75)-net over F25 | [i] | ||
| 20 | No digital (1, 46, 75)-net over F25 | [i] | ||
| 21 | No digital (1, 47, 75)-net over F25 | [i] | ||
| 22 | No digital (1, 48, 75)-net over F25 | [i] | ||