Information on Result #664009
Linear OA(89, 66, F8, 5) (dual of [66, 57, 6]-code), using (u, u+v)-construction based on
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(89, 66, F8, 2, 5) (dual of [(66, 2), 123, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(89, 66, F8, 3, 5) (dual of [(66, 3), 189, 6]-NRT-code) | [i] | ||
| 3 | Digital (4, 9, 66)-net over F8 | [i] | ||