Information on Result #725840

Linear OA(2762, 770, F27, 25) (dual of [770, 708, 26]-code), using construction XX applied to C1 = C([718,9]), C2 = C([0,14]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([718,14]) based on
  1. linear OA(2739, 728, F27, 20) (dual of [728, 689, 21]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,9}, and designed minimum distance d ≥ |I|+1 = 21 [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(2749, 728, F27, 25) (dual of [728, 679, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,14}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(2719, 728, F27, 10) (dual of [728, 709, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(2762, 385, F27, 2, 25) (dual of [(385, 2), 708, 26]-NRT-code) [i]OOA Folding