Information on Result #729974

Linear OA(6447, 589, F64, 25) (dual of [589, 542, 26]-code), using construction XX applied to C1 = C([52,75]), C2 = C([51,74]), C3 = C1 + C2 = C([52,74]), and C∩ = C1 ∩ C2 = C([51,75]) based on
  1. linear OA(6445, 585, F64, 24) (dual of [585, 540, 25]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {52,53,…,75}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(6445, 585, F64, 24) (dual of [585, 540, 25]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {51,52,…,74}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(6447, 585, F64, 25) (dual of [585, 538, 26]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {51,52,…,75}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(6443, 585, F64, 23) (dual of [585, 542, 24]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {52,53,…,74}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
  6. 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:

ResultThis
result
only		Method
1Linear OOA(6447, 589, F64, 2, 25) (dual of [(589, 2), 1131, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(6447, 589, F64, 3, 25) (dual of [(589, 3), 1720, 26]-NRT-code) [i]
3Digital (22, 47, 589)-net over F64 [i]
4Linear OOA(6447, 294, F64, 2, 25) (dual of [(294, 2), 541, 26]-NRT-code) [i]OOA Folding
5Linear OOA(6447, 196, F64, 3, 25) (dual of [(196, 3), 541, 26]-NRT-code) [i]