Information on Result #729735
Linear OA(6420, 199, F64, 12) (dual of [199, 179, 13]-code), using construction XX applied to C1 = C([28,38]), C2 = C([27,37]), C3 = C1 + C2 = C([28,37]), and C∩ = C1 ∩ C2 = C([27,38]) based on
- linear OA(6418, 195, F64, 11) (dual of [195, 177, 12]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {28,29,…,38}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6418, 195, F64, 11) (dual of [195, 177, 12]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {27,28,…,37}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6420, 195, F64, 12) (dual of [195, 175, 13]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {27,28,…,38}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6416, 195, F64, 10) (dual of [195, 179, 11]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {28,29,…,37}, and designed minimum distance d ≥ |I|+1 = 11 [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
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
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 OA(6469, 4297, F64, 25) (dual of [4297, 4228, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6467, 4297, F64, 24) (dual of [4297, 4230, 25]-code) | [i] | ||
| 3 | Linear OA(6490, 262346, F64, 24) (dual of [262346, 262256, 25]-code) | [i] | ||
| 4 | Linear OOA(6420, 99, F64, 2, 12) (dual of [(99, 2), 178, 13]-NRT-code) | [i] | OOA Folding | |