Information on Result #599087
There is no digital (57, 171, 183)-net over F3, because extracting embedded orthogonal array would yield linear OA(3171, 183, F3, 114) (dual of [183, 12, 115]-code), but
- residual code [i] would yield linear OA(357, 68, F3, 38) (dual of [68, 11, 39]-code), but
- “Gur†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 (57, 172, 183)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (57, 173, 183)-net over F3 | [i] | ||