Information on Result #874621
Linear OOA(6456, 2050, F64, 2, 28) (dual of [(2050, 2), 4044, 29]-NRT-code), using OOA 2-folding based on linear OA(6456, 4100, F64, 28) (dual of [4100, 4044, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(6456, 4101, F64, 28) (dual of [4101, 4045, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(27) ⊂ Ce(25) [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(6471, 2130, F64, 2, 28) (dual of [(2130, 2), 4189, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6473, 2154, F64, 2, 28) (dual of [(2154, 2), 4235, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(6475, 2178, F64, 2, 28) (dual of [(2178, 2), 4281, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(6477, 2227, F64, 2, 28) (dual of [(2227, 2), 4377, 29]-NRT-code) | [i] | ||