Information on Result #726730

Linear OA(2795, 780, F27, 41) (dual of [780, 685, 42]-code), using construction XX applied to C1 = C([725,28]), C2 = C([7,37]), C3 = C1 + C2 = C([7,28]), and C∩ = C1 ∩ C2 = C([725,37]) based on
  1. linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,28}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(2761, 728, F27, 31) (dual of [728, 667, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,37}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,37}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {7,8,…,28}, and designed minimum distance d ≥ |I|+1 = 23 [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(2795, 390, F27, 2, 41) (dual of [(390, 2), 685, 42]-NRT-code) [i]OOA Folding