Information on Result #3141444
There is no digital (31, 58, 97)-net over F2, because 1 times m-reduction would yield digital (31, 57, 97)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(257, 97, F2, 26) (dual of [97, 40, 27]-code), but
- adding a parity check bit [i] would yield linear OA(258, 98, F2, 27) (dual of [98, 40, 28]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(258, 98, F2, 27) (dual of [98, 40, 28]-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.