Information on Result #628385
Linear OA(842, 8194, F8, 11) (dual of [8194, 8152, 12]-code), using trace code based on linear OA(6421, 4097, F64, 11) (dual of [4097, 4076, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(842, 7699, F8, 2, 11) (dual of [(7699, 2), 15356, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(842, 7699, F8, 3, 11) (dual of [(7699, 3), 23055, 12]-NRT-code) | [i] | ||
| 3 | Digital (31, 42, 7699)-net over F8 | [i] | ||