Information on Result #599298
There is no digital (84, 234, 362)-net over F3, because extracting embedded orthogonal array would yield linear OA(3234, 362, F3, 150) (dual of [362, 128, 151]-code), but
- residual code [i] would yield linear OA(384, 211, F3, 50) (dual of [211, 127, 51]-code), but
- the Johnson bound shows that N ≤ 3 465392 580935 096296 712977 980638 603324 843243 174078 085715 358657 < 3127 [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 (84, 235, 362)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (84, 236, 362)-net over F3 | [i] | ||