Information on Result #726346

Linear OA(2759, 738, F27, 30) (dual of [738, 679, 31]-code), using construction XX applied to C1 = C([0,28]), C2 = C([4,29]), C3 = C1 + C2 = C([4,28]), and C∩ = C1 ∩ C2 = C([0,29]) based on
  1. linear OA(2754, 728, F27, 29) (dual of [728, 674, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(2751, 728, F27, 26) (dual of [728, 677, 27]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {4,5,…,29}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
  4. 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 = {4,5,…,28}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  5. linear OA(273, 8, F27, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,27) or 8-cap in PG(2,27)), 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(2759, 369, F27, 2, 30) (dual of [(369, 2), 679, 31]-NRT-code) [i]OOA Folding