Information on Result #628500
Linear OA(886, 8192, F8, 22) (dual of [8192, 8106, 23]-code), using trace code based on linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(886, 8160, F8, 2, 22) (dual of [(8160, 2), 16234, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(886, 8160, F8, 3, 22) (dual of [(8160, 3), 24394, 23]-NRT-code) | [i] | ||
| 3 | Digital (64, 86, 8160)-net over F8 | [i] | ||