Information on Result #599440
There is no digital (41, 165, 176)-net over F4, because extracting embedded orthogonal array would yield linear OA(4165, 176, F4, 124) (dual of [176, 11, 125]-code), but
- residual code [i] would yield linear OA(441, 51, F4, 31) (dual of [51, 10, 32]-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 (41, 166, 176)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (41, 167, 176)-net over F4 | [i] | ||
| 3 | No digital (41, 168, 176)-net over F4 | [i] | ||