Information on Result #699037
Linear OA(6486, 1369, F64, 44) (dual of [1369, 1283, 45]-code), using construction X applied to Ce(43) ⊂ Ce(41) based on
- 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 [i]
- linear OA(6483, 1366, F64, 42) (dual of [1366, 1283, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 1365 | 642−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | OA(32104, 1369, S32, 44) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6486, 1166, F64, 2, 44) (dual of [(1166, 2), 2246, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6486, 1166, F64, 3, 44) (dual of [(1166, 3), 3412, 45]-NRT-code) | [i] | ||
| 4 | Digital (42, 86, 1166)-net over F64 | [i] | ||
| 5 | Linear OOA(6486, 684, F64, 2, 44) (dual of [(684, 2), 1282, 45]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6486, 456, F64, 3, 44) (dual of [(456, 3), 1282, 45]-NRT-code) | [i] | ||