Information on Result #599257
There is no digital (79, 229, 259)-net over F3, because extracting embedded orthogonal array would yield linear OA(3229, 259, F3, 150) (dual of [259, 30, 151]-code), but
- residual code [i] would yield OA(379, 108, S3, 50), but
- the linear programming bound shows that M ≥ 17 534511 337853 558668 492502 167227 612507 359380 469822 536899 / 298348 310384 556250 > 379 [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 (79, 230, 259)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (79, 231, 259)-net over F3 | [i] | ||