Information on Result #1879949
There is no digital (1, m, 15)-net over F8 with unbounded m, because logical equivalence would yield digital (1, m, 15)-net over F8 for arbitrarily large m, but
- m-reduction [i] would yield digital (1, 9, 15)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(89, 15, F8, 8) (dual of [15, 6, 9]-code), but
- “MPa†bound on codes from Brouwer’s database [i]
- extracting embedded orthogonal array [i] would yield linear OA(89, 15, F8, 8) (dual of [15, 6, 9]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.