Information on Result #598913
There is no digital (3, 6, 57)-net over F3, because extracting embedded orthogonal array would yield linear OA(36, 57, F3, 3) (dual of [57, 51, 4]-code or 57-cap in PG(5,3)), but
- doubling the cap [i] would yield 114-cap in AG(6,3), but
- discarding factors / shortening the dual code would yield 113-cap in AG(6,3), but
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
None.