Information on Result #663431
Linear OA(822, 40833, F8, 5) (dual of [40833, 40811, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(80, 4681, F8, 0) (dual of [4681, 4681, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(80, 4681, F8, 0) (dual of [4681, 4681, 1]-code) (see above)
- linear OA(80, 4681, F8, 0) (dual of [4681, 4681, 1]-code) (see above)
- linear OA(81, 4681, F8, 1) (dual of [4681, 4680, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(81, 4681, F8, 1) (dual of [4681, 4680, 2]-code) (see above)
- linear OA(81, 4681, F8, 1) (dual of [4681, 4680, 2]-code) (see above)
- linear OA(85, 4681, F8, 2) (dual of [4681, 4676, 3]-code), using
- Hamming code H(5,8) [i]
- linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- trace code [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(822, 40833, F8, 2, 5) (dual of [(40833, 2), 81644, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(822, 40833, F8, 3, 5) (dual of [(40833, 3), 122477, 6]-NRT-code) | [i] | ||
| 3 | Digital (17, 22, 40833)-net over F8 | [i] | ||
| 4 | Linear OOA(822, 20416, F8, 2, 5) (dual of [(20416, 2), 40810, 6]-NRT-code) | [i] | OOA Folding | |