Information on Result #875429
Linear OOA(6488, 2050, F64, 2, 44) (dual of [(2050, 2), 4012, 45]-NRT-code), using OOA 2-folding based on linear OA(6488, 4100, F64, 44) (dual of [4100, 4012, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(6488, 4101, F64, 44) (dual of [4101, 4013, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(41) [i] based on
- linear OA(6487, 4096, F64, 44) (dual of [4096, 4009, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(6483, 4096, F64, 42) (dual of [4096, 4013, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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
- construction X applied to Ce(43) ⊂ Ce(41) [i] based on
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(6488, 1554, F64, 3, 44) (dual of [(1554, 3), 4574, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (44, 88, 1554)-net over F64 | [i] | ||