Information on Result #619040
Linear OA(6485, 1366, F64, 44) (dual of [1366, 1281, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 1365 | 642−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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 | OA(32102, 1366, S32, 44) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6485, 1054, F64, 2, 44) (dual of [(1054, 2), 2023, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6485, 1054, F64, 3, 44) (dual of [(1054, 3), 3077, 45]-NRT-code) | [i] | ||
| 4 | Digital (41, 85, 1054)-net over F64 | [i] | ||
| 5 | Linear OA(6487, 1368, F64, 45) (dual of [1368, 1281, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(6486, 1369, F64, 44) (dual of [1369, 1283, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(6490, 1371, F64, 46) (dual of [1371, 1281, 47]-code) | [i] | ✔ | |
| 8 | Linear OOA(6485, 683, F64, 2, 44) (dual of [(683, 2), 1281, 45]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(6485, 455, F64, 3, 44) (dual of [(455, 3), 1280, 45]-NRT-code) | [i] | ||