Information on Result #726668

Linear OA(2793, 780, F27, 40) (dual of [780, 687, 41]-code), using construction XX applied to C1 = C([726,28]), C2 = C([8,37]), C3 = C1 + C2 = C([8,28]), and C∩ = C1 ∩ C2 = C([726,37]) based on
  1. linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,28}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(2759, 728, F27, 30) (dual of [728, 669, 31]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,37}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−2,−1,…,37}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  4. linear OA(2741, 728, F27, 21) (dual of [728, 687, 22]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,28}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(279, 26, F27, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,27)), using
  6. linear OA(278, 26, F27, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,27)), 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(2793, 390, F27, 2, 40) (dual of [(390, 2), 687, 41]-NRT-code) [i]OOA Folding