Information on Result #3142942
There is no digital (114, 251, 240)-net over F2, because 21 times m-reduction would yield digital (114, 230, 240)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(2230, 240, F2, 116) (dual of [240, 10, 117]-code), but
- residual code [i] would yield linear OA(2114, 123, F2, 58) (dual of [123, 9, 59]-code), but
- residual code [i] would yield linear OA(256, 64, F2, 29) (dual of [64, 8, 30]-code), but
- 1 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- 1 times truncation [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- residual code [i] would yield linear OA(256, 64, F2, 29) (dual of [64, 8, 30]-code), but
- residual code [i] would yield linear OA(2114, 123, F2, 58) (dual of [123, 9, 59]-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.