Information on Result #730134
Linear OA(8123, 410, F81, 13) (dual of [410, 387, 14]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {34,35,…,46}, and designed minimum distance d ≥ |I|+1 = 14
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(8176, 6972, F81, 27) (dual of [6972, 6896, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8174, 6971, F81, 26) (dual of [6971, 6897, 27]-code) | [i] | ||
| 3 | Linear OOA(8123, 398, F81, 2, 13) (dual of [(398, 2), 773, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8123, 398, F81, 3, 13) (dual of [(398, 3), 1171, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(8123, 398, F81, 4, 13) (dual of [(398, 4), 1569, 14]-NRT-code) | [i] | ||
| 6 | Digital (10, 23, 398)-net over F81 | [i] | ||
| 7 | Linear OA(8123, 412, F81, 13) (dual of [412, 389, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(8124, 415, F81, 13) (dual of [415, 391, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(8125, 412, F81, 14) (dual of [412, 387, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(8128, 415, F81, 15) (dual of [415, 387, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(8125, 414, F81, 14) (dual of [414, 389, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(8128, 417, F81, 15) (dual of [417, 389, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(8127, 414, F81, 15) (dual of [414, 387, 16]-code) | [i] | ✔ | |