Information on Result #727286

Linear OA(27108, 744, F27, 54) (dual of [744, 636, 55]-code), using construction XX applied to C1 = C([723,47]), C2 = C([0,48]), C3 = C1 + C2 = C([0,47]), and C∩ = C1 ∩ C2 = C([723,48]) based on
  1. linear OA(27102, 728, F27, 53) (dual of [728, 626, 54]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,47}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(2794, 728, F27, 49) (dual of [728, 634, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
  3. linear OA(27104, 728, F27, 54) (dual of [728, 624, 55]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,48}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  4. linear OA(2792, 728, F27, 48) (dual of [728, 636, 49]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,47], and designed minimum distance d ≥ |I|+1 = 49 [i]
  5. linear OA(274, 14, F27, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,27)), using
  6. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), 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(27108, 372, F27, 2, 54) (dual of [(372, 2), 636, 55]-NRT-code) [i]OOA Folding