Information on Result #730527

Linear OA(12844, 392, F128, 25) (dual of [392, 348, 26]-code), using construction XX applied to C1 = C([2,24]), C2 = C([0,21]), C3 = C1 + C2 = C([2,21]), and C∩ = C1 ∩ C2 = C([0,24]) based on
  1. linear OA(12838, 381, F128, 23) (dual of [381, 343, 24]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,24}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(12836, 381, F128, 22) (dual of [381, 345, 23]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(12841, 381, F128, 25) (dual of [381, 340, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(12833, 381, F128, 20) (dual of [381, 348, 21]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,21}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  5. linear OA(1282, 7, F128, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,128)), using
  6. linear OA(1281, 4, F128, 1) (dual of [4, 3, 2]-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(12844, 196, F128, 2, 25) (dual of [(196, 2), 348, 26]-NRT-code) [i]OOA Folding