Information on Result #628476
Linear OA(878, 8192, F8, 20) (dual of [8192, 8114, 21]-code), using trace code based on linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(878, 7864, F8, 2, 20) (dual of [(7864, 2), 15650, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(878, 7864, F8, 3, 20) (dual of [(7864, 3), 23514, 21]-NRT-code) | [i] | ||
| 3 | Digital (58, 78, 7864)-net over F8 | [i] | ||
| 4 | Linear OOA(878, 819, F8, 20, 20) (dual of [(819, 20), 16302, 21]-NRT-code) | [i] | OA Folding and Stacking | |