Information on Result #3141453
There is no digital (31, 71, 71)-net over F2, because 8 times m-reduction would yield digital (31, 63, 71)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(263, 71, F2, 32) (dual of [71, 8, 33]-code), but
- residual code [i] would yield linear OA(231, 38, F2, 16) (dual of [38, 7, 17]-code), but
- residual code [i] would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- residual code [i] would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(231, 38, F2, 16) (dual of [38, 7, 17]-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.