Information on Result #725798

Linear OA(2760, 770, F27, 24) (dual of [770, 710, 25]-code), using construction XX applied to C1 = C([718,8]), C2 = C([0,13]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([718,13]) based on
  1. linear OA(2737, 728, F27, 19) (dual of [728, 691, 20]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,8}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(2727, 728, F27, 14) (dual of [728, 701, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(2747, 728, F27, 24) (dual of [728, 681, 25]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,13}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(2717, 728, F27, 9) (dual of [728, 711, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [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(274, 14, F27, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,27)), 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(2760, 385, F27, 2, 24) (dual of [(385, 2), 710, 25]-NRT-code) [i]OOA Folding