Information on Result #598734
There is no digital (82, 166, 175)-net over F2, because extracting embedded orthogonal array would yield linear OA(2166, 175, F2, 84) (dual of [175, 9, 85]-code), but
- residual code [i] would yield linear OA(282, 90, F2, 42) (dual of [90, 8, 43]-code), but
- adding a parity check bit [i] would yield linear OA(283, 91, F2, 43) (dual of [91, 8, 44]-code), but
- “DMa†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(283, 91, F2, 43) (dual of [91, 8, 44]-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 (82, 167, 175)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (82, 168, 175)-net over F2 | [i] | ||
| 3 | No digital (82, 169, 175)-net over F2 | [i] | ||
| 4 | No digital (82, 170, 175)-net over F2 | [i] | ||
| 5 | No digital (82, 171, 175)-net over F2 | [i] | ||
| 6 | No digital (82, 172, 175)-net over F2 | [i] | ||
| 7 | No digital (82, 173, 175)-net over F2 | [i] | ||
| 8 | No digital (82, 174, 175)-net over F2 | [i] | ||
| 9 | No digital (82, 175, 175)-net over F2 | [i] | ||
| 10 | No digital (82, 176, 175)-net over F2 | [i] | ||
| 11 | No digital (82, 177, 175)-net over F2 | [i] | ||
| 12 | No digital (82, 178, 175)-net over F2 | [i] | ||
| 13 | No digital (82, 179, 175)-net over F2 | [i] | ||
| 14 | No digital (82, 180, 175)-net over F2 | [i] | ||
| 15 | No digital (82, 181, 175)-net over F2 | [i] | ||
| 16 | No digital (82, 182, 175)-net over F2 | [i] | ||
| 17 | No digital (82, 183, 175)-net over F2 | [i] | ||
| 18 | No digital (82, 184, 175)-net over F2 | [i] | ||
| 19 | No digital (82, 185, 175)-net over F2 | [i] | ||