Information on Result #3141981
There is no digital (71, 155, 152)-net over F2, because 12 times m-reduction would yield digital (71, 143, 152)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2143, 152, F2, 72) (dual of [152, 9, 73]-code), but
- residual code [i] would yield linear OA(271, 79, F2, 36) (dual of [79, 8, 37]-code), but
- adding a parity check bit [i] would yield linear OA(272, 80, F2, 37) (dual of [80, 8, 38]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(272, 80, F2, 37) (dual of [80, 8, 38]-code), but
- residual code [i] would yield linear OA(271, 79, F2, 36) (dual of [79, 8, 37]-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.