Information on Result #729965
Linear OA(6439, 589, F64, 21) (dual of [589, 550, 22]-code), using construction XX applied to C1 = C([56,75]), C2 = C([55,74]), C3 = C1 + C2 = C([56,74]), and C∩ = C1 ∩ C2 = C([55,75]) based on
- linear OA(6437, 585, F64, 20) (dual of [585, 548, 21]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {56,57,…,75}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(6437, 585, F64, 20) (dual of [585, 548, 21]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {55,56,…,74}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(6439, 585, F64, 21) (dual of [585, 546, 22]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {55,56,…,75}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6435, 585, F64, 19) (dual of [585, 550, 20]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {56,57,…,74}, and designed minimum distance d ≥ |I|+1 = 20 [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 OOA(6439, 294, F64, 2, 21) (dual of [(294, 2), 549, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6439, 196, F64, 3, 21) (dual of [(196, 3), 549, 22]-NRT-code) | [i] | ||