Information on Result #875510
Linear OOA(6491, 2049, F64, 2, 46) (dual of [(2049, 2), 4007, 47]-NRT-code), using OOA 2-folding based on linear OA(6491, 4098, F64, 46) (dual of [4098, 4007, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(44) [i] based on
- linear OA(6491, 4096, F64, 46) (dual of [4096, 4005, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(6489, 4096, F64, 45) (dual of [4096, 4007, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-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 | Linear OOA(6491, 1446, F64, 3, 46) (dual of [(1446, 3), 4247, 47]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (45, 91, 1446)-net over F64 | [i] | ||