Information on Result #730132
Linear OA(8121, 410, F81, 12) (dual of [410, 389, 13]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {35,36,…,46}, 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8170, 6972, F81, 25) (dual of [6972, 6902, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8168, 6971, F81, 24) (dual of [6971, 6903, 25]-code) | [i] | ||
| 3 | Linear OOA(8121, 367, F81, 2, 12) (dual of [(367, 2), 713, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8121, 367, F81, 3, 12) (dual of [(367, 3), 1080, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(8121, 367, F81, 4, 12) (dual of [(367, 4), 1447, 13]-NRT-code) | [i] | ||
| 6 | Digital (9, 21, 367)-net over F81 | [i] | ||
| 7 | Linear OA(8121, 412, F81, 12) (dual of [412, 391, 13]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(8123, 412, F81, 13) (dual of [412, 389, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(8126, 415, F81, 14) (dual of [415, 389, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(8122, 415, F81, 12) (dual of [415, 393, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(8123, 414, F81, 13) (dual of [414, 391, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(8126, 417, F81, 14) (dual of [417, 391, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(8125, 414, F81, 14) (dual of [414, 389, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(8128, 417, F81, 15) (dual of [417, 389, 16]-code) | [i] | ✔ | |