Information on Result #729771
Linear OA(6439, 200, F64, 23) (dual of [200, 161, 24]-code), using construction XX applied to C1 = C([22,43]), C2 = C([21,41]), C3 = C1 + C2 = C([22,41]), and C∩ = C1 ∩ C2 = C([21,43]) based on
- linear OA(6436, 195, F64, 22) (dual of [195, 159, 23]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {22,23,…,43}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6436, 195, F64, 21) (dual of [195, 159, 22]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {21,22,…,41}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6438, 195, F64, 23) (dual of [195, 157, 24]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {21,22,…,43}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6434, 195, F64, 20) (dual of [195, 161, 21]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {22,23,…,41}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- Reed–Solomon code RS(63,64) [i]
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- 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(6439, 100, F64, 2, 23) (dual of [(100, 2), 161, 24]-NRT-code) | [i] | OOA Folding |