Information on Result #699039
Linear OA(6490, 1371, F64, 46) (dual of [1371, 1281, 47]-code), using construction X applied to Ce(45) ⊂ Ce(43) based on
- linear OA(6489, 1366, F64, 46) (dual of [1366, 1277, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 642−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- 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(641, 5, F64, 1) (dual of [5, 4, 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(32108, 1371, S32, 46) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6490, 1213, F64, 2, 46) (dual of [(1213, 2), 2336, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(6490, 1213, F64, 3, 46) (dual of [(1213, 3), 3549, 47]-NRT-code) | [i] | ||
| 4 | Digital (44, 90, 1213)-net over F64 | [i] | ||
| 5 | Linear OOA(6490, 685, F64, 2, 46) (dual of [(685, 2), 1280, 47]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6490, 457, F64, 3, 46) (dual of [(457, 3), 1281, 47]-NRT-code) | [i] | ||