Information on Result #704472
Linear OA(3109, 728, F3, 27) (dual of [728, 619, 28]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,22}, and designed minimum distance d ≥ |I|+1 = 28
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(3109, 564, F3, 2, 27) (dual of [(564, 2), 1019, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 564, F3, 3, 27) (dual of [(564, 3), 1583, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 564, F3, 4, 27) (dual of [(564, 4), 2147, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 564, F3, 5, 27) (dual of [(564, 5), 2711, 28]-NRT-code) | [i] | ||
| 5 | Digital (82, 109, 564)-net over F3 | [i] | ||
| 6 | Linear OA(3122, 778, F3, 27) (dual of [778, 656, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3116, 760, F3, 27) (dual of [760, 644, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(3115, 758, F3, 27) (dual of [758, 643, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(3114, 754, F3, 27) (dual of [754, 640, 28]-code) | [i] | ✔ | |