Information on Result #1879646
There is no digital (1, 1+k, 14)-net over F7 for arbitrarily large k, because logical equivalence would yield digital (1, m, 14)-net over F7 for arbitrarily large m, but
- m-reduction [i] 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]
- extracting embedded orthogonal array [i] would yield linear OA(78, 14, F7, 7) (dual of [14, 6, 8]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.