Information on Result #598621
There is no digital (49, 99, 108)-net over F2, because extracting embedded orthogonal array would yield linear OA(299, 108, F2, 50) (dual of [108, 9, 51]-code), but
- residual code [i] would yield linear OA(249, 57, F2, 25) (dual of [57, 8, 26]-code), but
- “BJV†bound on codes from Brouwer’s database [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 (49, 100, 108)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (49, 101, 108)-net over F2 | [i] | ||
| 3 | No digital (49, 102, 108)-net over F2 | [i] | ||
| 4 | No digital (49, 103, 108)-net over F2 | [i] | ||
| 5 | No digital (49, 104, 108)-net over F2 | [i] | ||
| 6 | No digital (49, 105, 108)-net over F2 | [i] | ||
| 7 | No digital (49, 106, 108)-net over F2 | [i] | ||
| 8 | No digital (49, 107, 108)-net over F2 | [i] | ||
| 9 | No digital (49, 108, 108)-net over F2 | [i] | ||
| 10 | No digital (49, 109, 108)-net over F2 | [i] | ||
| 11 | No digital (49, 110, 108)-net over F2 | [i] | ||
| 12 | No digital (49, 111, 108)-net over F2 | [i] | ||
| 13 | No digital (49, 112, 108)-net over F2 | [i] | ||