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
  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
  6. linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), 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:

ResultThis
result
only
Method
1Linear OOA(6439, 100, F64, 2, 23) (dual of [(100, 2), 161, 24]-NRT-code) [i]OOA Folding