Information on Result #730505
Linear OA(12833, 381, F128, 20) (dual of [381, 348, 21]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
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(12833, 324, F128, 2, 20) (dual of [(324, 2), 615, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12833, 324, F128, 3, 20) (dual of [(324, 3), 939, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(12833, 324, F128, 4, 20) (dual of [(324, 4), 1263, 21]-NRT-code) | [i] | ||
| 4 | Digital (13, 33, 324)-net over F128 | [i] | ||
| 5 | Linear OA(12834, 387, F128, 20) (dual of [387, 353, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(12835, 385, F128, 21) (dual of [385, 350, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(12840, 390, F128, 23) (dual of [390, 350, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(12843, 393, F128, 24) (dual of [393, 350, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(12842, 390, F128, 24) (dual of [390, 348, 25]-code) | [i] | ✔ | |