Information on Result #725891

Linear OA(2759, 762, F27, 25) (dual of [762, 703, 26]-code), using construction XX applied to C1 = C([719,12]), C2 = C([0,15]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([719,15]) based on
  1. linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,12}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(2731, 728, F27, 16) (dual of [728, 697, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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 = {−9,−8,…,15}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(2759, 381, F27, 2, 25) (dual of [(381, 2), 703, 26]-NRT-code) [i]OOA Folding