Information on Result #598941
There is no digital (11, 14, 165112)-net over F3, because extracting embedded orthogonal array would yield linear OA(314, 165112, F3, 3) (dual of [165112, 165098, 4]-code or 165112-cap in PG(13,3)), but
- doubling the cap [i] would yield 330224-cap in AG(14,3), but
- discarding factors / shortening the dual code would yield 330223-cap in AG(14,3), but
- 8 times the recursive bound from Bierbrauer and Edel [i] would yield 113-cap in AG(6,3), but
- discarding factors / shortening the dual code would yield 330223-cap in AG(14,3), 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.