Information on Result #704195
Linear OA(349, 728, F3, 12) (dual of [728, 679, 13]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(349, 433, F3, 2, 12) (dual of [(433, 2), 817, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(349, 433, F3, 3, 12) (dual of [(433, 3), 1250, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(349, 433, F3, 4, 12) (dual of [(433, 4), 1683, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(349, 433, F3, 5, 12) (dual of [(433, 5), 2116, 13]-NRT-code) | [i] | ||
| 5 | Digital (37, 49, 433)-net over F3 | [i] | ||
| 6 | Linear OA(349, 740, F3, 12) (dual of [740, 691, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(357, 743, F3, 14) (dual of [743, 686, 15]-code) | [i] | ✔ | |