Information on Result #730510

Linear OA(12839, 392, F128, 22) (dual of [392, 353, 23]-code), using construction XX applied to C1 = C([2,21]), C2 = C([0,18]), C3 = C1 + C2 = C([2,18]), and C∩ = C1 ∩ C2 = C([0,21]) based on
  1. 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]
  2. linear OA(12831, 381, F128, 19) (dual of [381, 350, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. 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]
  4. linear OA(12828, 381, F128, 17) (dual of [381, 353, 18]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,18}, and designed minimum distance d ≥ |I|+1 = 18 [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(12839, 196, F128, 2, 22) (dual of [(196, 2), 353, 23]-NRT-code) [i]OOA Folding