Information on Result #3141500
There is no digital (35, 79, 79)-net over F2, because 8 times m-reduction would yield digital (35, 71, 79)-net over F2, but
- extracting embedded orthogonal array [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
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.