Information on Result #598866
There is no digital (122, 246, 257)-net over F2, because extracting embedded orthogonal array would yield linear OA(2246, 257, F2, 124) (dual of [257, 11, 125]-code), but
- residual code [i] would yield linear OA(2122, 132, F2, 62) (dual of [132, 10, 63]-code), but
- residual code [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-code), but
- “BGV†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(260, 69, F2, 31) (dual of [69, 9, 32]-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 (122, 247, 257)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (122, 248, 257)-net over F2 | [i] | ||
| 3 | No digital (122, 249, 257)-net over F2 | [i] | ||