Information on Result #1302370
Linear OA(813, 8066, F8, 4) (dual of [8066, 8053, 5]-code), using construction X with Varšamov bound based on
- linear OA(812, 8064, F8, 4) (dual of [8064, 8052, 5]-code), using
- trace code [i] based on linear OA(646, 4032, F64, 4) (dual of [4032, 4026, 5]-code), using
- 1 times truncation [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- trace code [i] based on linear OA(646, 4032, F64, 4) (dual of [4032, 4026, 5]-code), using
- linear OA(812, 8065, F8, 3) (dual of [8065, 8053, 4]-code or 8065-cap in PG(11,8)), using Gilbert–Varšamov bound and bm = 812 > Vbs−1(k−1) = 1593 047233 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 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
Mode: 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(813, 8066, F8, 2, 4) (dual of [(8066, 2), 16119, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(813, 8066, F8, 3, 4) (dual of [(8066, 3), 24185, 5]-NRT-code) | [i] | ||
| 3 | Linear OOA(813, 4033, F8, 2, 4) (dual of [(4033, 2), 8053, 5]-NRT-code) | [i] | OOA Folding | |