Information on Result #598616
There is no digital (46, 94, 102)-net over F2, because extracting embedded orthogonal array would yield linear OA(294, 102, F2, 48) (dual of [102, 8, 49]-code), but
- residual code [i] would yield linear OA(246, 53, F2, 24) (dual of [53, 7, 25]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(247, 54, F2, 24) (dual of [54, 7, 25]-code), but
- adding a parity check bit [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-code), but
- “vT4†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(248, 55, F2, 25) (dual of [55, 7, 26]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(247, 54, F2, 24) (dual of [54, 7, 25]-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 (46, 95, 102)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (46, 96, 102)-net over F2 | [i] | ||
| 3 | No digital (46, 97, 102)-net over F2 | [i] | ||
| 4 | No digital (46, 98, 102)-net over F2 | [i] | ||
| 5 | No digital (46, 99, 102)-net over F2 | [i] | ||
| 6 | No digital (46, 100, 102)-net over F2 | [i] | ||
| 7 | No digital (46, 101, 102)-net over F2 | [i] | ||
| 8 | No digital (46, 102, 102)-net over F2 | [i] | ||
| 9 | No digital (46, 103, 102)-net over F2 | [i] | ||
| 10 | No digital (46, 104, 102)-net over F2 | [i] | ||
| 11 | No digital (46, 105, 102)-net over F2 | [i] | ||