Information on Result #3142882
There is no digital (111, 238, 233)-net over F2, because 15 times m-reduction would yield digital (111, 223, 233)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2223, 233, F2, 112) (dual of [233, 10, 113]-code), but
- residual code [i] would yield linear OA(2111, 120, F2, 56) (dual of [120, 9, 57]-code), but
- residual code [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- residual code [i] would yield linear OA(2111, 120, F2, 56) (dual of [120, 9, 57]-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.