Information on Result #726789

Linear OA(2797, 780, F27, 42) (dual of [780, 683, 43]-code), using construction XX applied to C1 = C([724,28]), C2 = C([6,37]), C3 = C1 + C2 = C([6,28]), and C∩ = C1 ∩ C2 = C([724,37]) based on
  1. linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(2763, 728, F27, 32) (dual of [728, 665, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {6,7,…,37}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  4. linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {6,7,…,28}, and designed minimum distance d ≥ |I|+1 = 24 [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(2797, 390, F27, 2, 42) (dual of [(390, 2), 683, 43]-NRT-code) [i]OOA Folding