Information on Result #730386
Linear OA(8143, 820, F81, 23) (dual of [820, 777, 24]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {29,30,…,51}, and designed minimum distance d ≥ |I|+1 = 24
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 OOA(8143, 703, F81, 2, 23) (dual of [(703, 2), 1363, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8143, 703, F81, 3, 23) (dual of [(703, 3), 2066, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(8143, 703, F81, 4, 23) (dual of [(703, 4), 2769, 24]-NRT-code) | [i] | ||
| 4 | Digital (20, 43, 703)-net over F81 | [i] | ||
| 5 | Linear OA(8143, 822, F81, 23) (dual of [822, 779, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(8145, 822, F81, 24) (dual of [822, 777, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(8145, 824, F81, 24) (dual of [824, 779, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(8147, 824, F81, 25) (dual of [824, 777, 26]-code) | [i] | ✔ | |