Information on Result #730050
Linear OA(6457, 819, F64, 30) (dual of [819, 762, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 642−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6457, 722, F64, 2, 30) (dual of [(722, 2), 1387, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6457, 722, F64, 3, 30) (dual of [(722, 3), 2109, 31]-NRT-code) | [i] | ||
| 3 | Digital (27, 57, 722)-net over F64 | [i] | ||
| 4 | Linear OA(6459, 823, F64, 31) (dual of [823, 764, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(6461, 823, F64, 32) (dual of [823, 762, 33]-code) | [i] | ✔ | |