Information on Result #3148702
There is no digital (46, 183, 201)-net over F4, because 1 times m-reduction would yield digital (46, 182, 201)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4182, 201, F4, 136) (dual of [201, 19, 137]-code), but
- construction Y1 [i] would yield
- linear OA(4181, 191, F4, 136) (dual of [191, 10, 137]-code), but
- residual code [i] would yield linear OA(445, 54, F4, 34) (dual of [54, 9, 35]-code), but
- “Gur†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(445, 54, F4, 34) (dual of [54, 9, 35]-code), but
- OA(419, 201, S4, 10), but
- discarding factors would yield OA(419, 171, S4, 10), but
- the Rao or (dual) Hamming bound shows that M ≥ 281922 389596 > 419 [i]
- discarding factors would yield OA(419, 171, S4, 10), but
- linear OA(4181, 191, F4, 136) (dual of [191, 10, 137]-code), but
- construction Y1 [i] would yield
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.