Information on Result #994124
Linear OOA(319, 1490944, F3, 3, 3) (dual of [(1490944, 3), 4472813, 4]-NRT-code), using appending kth column based on linear OOA(319, 1490944, F3, 2, 3) (dual of [(1490944, 2), 2981869, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(319, 1490944, F3, 3) (dual of [1490944, 1490925, 4]-code or 1490944-cap in PG(18,3)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(379, 4287145, F3, 3, 6) (dual of [(4287145, 3), 12861356, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(376, 3085267, F3, 3, 7) (dual of [(3085267, 3), 9255725, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(380, 4287145, F3, 3, 7) (dual of [(4287145, 3), 12861355, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(394, 5778089, F3, 3, 7) (dual of [(5778089, 3), 17334173, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(319, 1490944, F3, 4, 3) (dual of [(1490944, 4), 5963757, 4]-NRT-code) | [i] | Appending Arbitrary Columns | |
| 6 | Linear OOA(319, 1490944, F3, 5, 3) (dual of [(1490944, 5), 7454701, 4]-NRT-code) | [i] | ||
| 7 | Digital (16, 19, 1490944)-net over F3 | [i] | Net Defined by OOA | |