Information on Result #725847

Linear OA(2757, 762, F27, 24) (dual of [762, 705, 25]-code), using construction XX applied to C1 = C([719,11]), C2 = C([0,14]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([719,14]) based on
  1. 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 = {−9,−8,…,11}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(2729, 728, F27, 15) (dual of [728, 699, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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 = {−9,−8,…,14}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  4. linear OA(2723, 728, F27, 12) (dual of [728, 705, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
  5. linear OA(278, 26, F27, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,27)), using
  6. linear OA(272, 8, F27, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,27)), 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(2757, 381, F27, 2, 24) (dual of [(381, 2), 705, 25]-NRT-code) [i]OOA Folding