Information on Result #726855

Linear OA(2798, 772, F27, 44) (dual of [772, 674, 45]-code), using construction XX applied to C1 = C([718,27]), C2 = C([0,33]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([718,33]) based on
  1. linear OA(2773, 728, F27, 38) (dual of [728, 655, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,27}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(2764, 728, F27, 34) (dual of [728, 664, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(2784, 728, F27, 44) (dual of [728, 644, 45]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,33}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(2753, 728, F27, 28) (dual of [728, 675, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
  5. linear OA(279, 28, F27, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,27)), using
  6. linear OA(275, 16, F27, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,27)), 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(2798, 386, F27, 2, 44) (dual of [(386, 2), 674, 45]-NRT-code) [i]OOA Folding