Information on Result #599598
There is no digital (61, 245, 255)-net over F4, because extracting embedded orthogonal array would yield linear OA(4245, 255, F4, 184) (dual of [255, 10, 185]-code), but
- residual code [i] would yield linear OA(461, 70, F4, 46) (dual of [70, 9, 47]-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 (61, 246, 255)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (61, 247, 255)-net over F4 | [i] | ||
| 3 | No digital (61, 248, 255)-net over F4 | [i] | ||
| 4 | No digital (61, 249, 255)-net over F4 | [i] | ||
| 5 | No digital (61, 250, 255)-net over F4 | [i] | ||
| 6 | No digital (61, 251, 255)-net over F4 | [i] | ||
| 7 | No digital (61, 252, 255)-net over F4 | [i] | ||
| 8 | No digital (61, 253, 255)-net over F4 | [i] | ||
| 9 | No digital (61, 254, 255)-net over F4 | [i] | ||
| 10 | No digital (61, 255, 255)-net over F4 | [i] | ||
| 11 | No digital (61, 256, 255)-net over F4 | [i] | ||
| 12 | No digital (61, 257, 255)-net over F4 | [i] | ||
| 13 | No digital (61, 258, 255)-net over F4 | [i] | ||
| 14 | No digital (61, 259, 255)-net over F4 | [i] | ||
| 15 | No digital (61, 260, 255)-net over F4 | [i] | ||