Information on Result #598633
There is no digital (55, 111, 120)-net over F2, because extracting embedded orthogonal array would yield linear OA(2111, 120, F2, 56) (dual of [120, 9, 57]-code), but
- residual code [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†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 (55, 112, 120)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (55, 113, 120)-net over F2 | [i] | ||
| 3 | No digital (55, 114, 120)-net over F2 | [i] | ||
| 4 | No digital (55, 115, 120)-net over F2 | [i] | ||
| 5 | No digital (55, 116, 120)-net over F2 | [i] | ||
| 6 | No digital (55, 117, 120)-net over F2 | [i] | ||
| 7 | No digital (55, 118, 120)-net over F2 | [i] | ||
| 8 | No digital (55, 119, 120)-net over F2 | [i] | ||
| 9 | No digital (55, 120, 120)-net over F2 | [i] | ||
| 10 | No digital (55, 121, 120)-net over F2 | [i] | ||
| 11 | No digital (55, 122, 120)-net over F2 | [i] | ||
| 12 | No digital (55, 123, 120)-net over F2 | [i] | ||
| 13 | No digital (55, 124, 120)-net over F2 | [i] | ||