Information on Result #730470

Linear OA(12829, 392, F128, 16) (dual of [392, 363, 17]-code), using construction XX applied to C1 = C([2,15]), C2 = C([0,12]), C3 = C1 + C2 = C([2,12]), and C∩ = C1 ∩ C2 = C([0,15]) based on
  1. linear OA(12823, 381, F128, 14) (dual of [381, 358, 15]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,15}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(12821, 381, F128, 13) (dual of [381, 360, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(12826, 381, F128, 16) (dual of [381, 355, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
  4. linear OA(12818, 381, F128, 11) (dual of [381, 363, 12]-code), using the BCH-code C(I) with length 381 | 1282−1, defining interval I = {2,3,…,12}, and designed minimum distance d ≥ |I|+1 = 12 [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(12829, 196, F128, 2, 16) (dual of [(196, 2), 363, 17]-NRT-code) [i]OOA Folding