Information on Result #1858722
There is no digital (1, m, 14)-net over F7 for arbitrarily large m, because m-reduction would yield digital (1, 8, 14)-net over F7, but
- extracting embedded orthogonal array [i] would yield linear OA(78, 14, F7, 7) (dual of [14, 6, 8]-code), but
- “MPa†bound on codes from Brouwer’s database [i]
Mode: Bound (linear).
Optimality
Show details for fixed 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 (1, 13)-sequence over F7 | [i] | Net from Sequence | |
| 2 | No digital (1, 1+k, 14)-net over F7 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No digital (1, m, 14)-net over F7 with unbounded m | [i] | ||