Information on Result #628336
Linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using trace code 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 OA(815, 8067, F8, 5) (dual of [8067, 8052, 6]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(813, 8065, F8, 4) (dual of [8065, 8052, 5]-code) | [i] | Truncation | |
| 3 | Linear OA(816, 8075, F8, 5) (dual of [8075, 8059, 6]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(817, 8139, F8, 5) (dual of [8139, 8122, 6]-code) | [i] | ||
| 5 | Linear OA(818, 8651, F8, 5) (dual of [8651, 8633, 6]-code) | [i] | ||
| 6 | Linear OA(819, 12747, F8, 5) (dual of [12747, 12728, 6]-code) | [i] | ||
| 7 | Linear OA(820, 8577, F8, 5) (dual of [8577, 8557, 6]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(822, 40833, F8, 5) (dual of [40833, 40811, 6]-code) | [i] | ||
| 9 | Linear OA(823, 64528, F8, 5) (dual of [64528, 64505, 6]-code) | [i] | ||
| 10 | Linear OA(819, 8285, F8, 5) (dual of [8285, 8266, 6]-code) | [i] | ||
| 11 | Linear OA(817, 8084, F8, 5) (dual of [8084, 8067, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(818, 8212, F8, 5) (dual of [8212, 8194, 6]-code) | [i] | ||
| 13 | Linear OA(820, 17428, F8, 5) (dual of [17428, 17408, 6]-code) | [i] | ||
| 14 | Linear OOA(814, 4033, F8, 2, 5) (dual of [(4033, 2), 8052, 6]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(814, 4032, F8, 3, 5) (dual of [(4032, 3), 12082, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 16 | Linear OOA(814, 4032, F8, 5, 5) (dual of [(4032, 5), 20146, 6]-NRT-code) | [i] | ||