Information on Result #726210

Linear OA(2752, 735, F27, 26) (dual of [735, 683, 27]-code), using construction XX applied to C1 = C([726,22]), C2 = C([0,23]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([726,23]) based on
  1. 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 = {−2,−1,…,22}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(2747, 728, F27, 24) (dual of [728, 681, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. 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 = {−2,−1,…,23}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  4. linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), 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 OA(2772, 817, F27, 26) (dual of [817, 745, 27]-code) [i](u, u+v)-Construction
2Linear OA(2756, 752, F27, 26) (dual of [752, 696, 27]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(2757, 781, F27, 26) (dual of [781, 724, 27]-code) [i]
4Linear OA(2758, 846, F27, 26) (dual of [846, 788, 27]-code) [i]