Information on Result #3149500
There is no digital (57, 237, 239)-net over F4, because 8 times m-reduction would yield digital (57, 229, 239)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4229, 239, F4, 172) (dual of [239, 10, 173]-code), but
- residual code [i] would yield linear OA(457, 66, F4, 43) (dual of [66, 9, 44]-code), but
- “Gur†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(457, 66, F4, 43) (dual of [66, 9, 44]-code), 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.