Information on Result #598836
There is no digital (103, 201, 229)-net over F2, because extracting embedded orthogonal array would yield linear OA(2201, 229, F2, 98) (dual of [229, 28, 99]-code), but
- residual code [i] would yield OA(2103, 130, S2, 49), but
- 1 times truncation [i] would yield OA(2102, 129, S2, 48), but
- the linear programming bound shows that M ≥ 4505 293676 588367 515344 369298 908326 658048 / 781 535645 > 2102 [i]
- 1 times truncation [i] would yield OA(2102, 129, S2, 48), 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 (103, 202, 229)-net over F2 | [i] | m-Reduction |