Information on Result #730456
Linear OA(12818, 381, F128, 11) (dual of [381, 363, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12
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(12818, 309, F128, 2, 11) (dual of [(309, 2), 600, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12818, 309, F128, 3, 11) (dual of [(309, 3), 909, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(12818, 309, F128, 4, 11) (dual of [(309, 4), 1218, 12]-NRT-code) | [i] | ||
| 4 | Digital (7, 18, 309)-net over F128 | [i] | ||
| 5 | Linear OA(12820, 385, F128, 12) (dual of [385, 365, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(12825, 390, F128, 14) (dual of [390, 365, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(12827, 390, F128, 15) (dual of [390, 363, 16]-code) | [i] | ✔ | |