Information on Result #599283
There is no digital (82, 235, 276)-net over F3, because extracting embedded orthogonal array would yield linear OA(3235, 276, F3, 153) (dual of [276, 41, 154]-code), but
- residual code [i] would yield OA(382, 122, S3, 51), but
- the linear programming bound shows that M ≥ 2 857259 335023 875460 783166 319642 601001 954259 886029 570784 083010 116237 359893 / 2097 368232 043591 449722 787486 700000 > 382 [i]
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 (82, 236, 276)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (82, 237, 276)-net over F3 | [i] | ||