Information on Result #598708
There is no digital (77, 155, 167)-net over F2, because extracting embedded orthogonal array would yield linear OA(2155, 167, F2, 78) (dual of [167, 12, 79]-code), but
- residual code [i] would yield linear OA(277, 88, F2, 39) (dual of [88, 11, 40]-code), but
- 1 times truncation [i] would yield linear OA(276, 87, F2, 38) (dual of [87, 11, 39]-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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No digital (77, 156, 167)-net over F2 | [i] | m-Reduction |