Information on Result #725604

Linear OA(2711, 732, F27, 6) (dual of [732, 721, 7]-code), using construction XX applied to C1 = C([727,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([727,4]) based on
  1. linear OA(279, 728, F27, 5) (dual of [728, 719, 6]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
  2. linear OA(279, 728, F27, 5) (dual of [728, 719, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(2711, 728, F27, 6) (dual of [728, 717, 7]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  4. linear OA(277, 728, F27, 4) (dual of [728, 721, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
  5. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)

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(2748, 20418, F27, 13) (dual of [20418, 20370, 14]-code) [i](u, u+v)-Construction
2Linear OA(2760, 532177, F27, 13) (dual of [532177, 532117, 14]-code) [i]
3Linear OA(2714, 760, F27, 6) (dual of [760, 746, 7]-code) [i]
4Linear OOA(2711, 366, F27, 2, 6) (dual of [(366, 2), 721, 7]-NRT-code) [i]OOA Folding
5Linear OOA(2711, 244, F27, 6, 6) (dual of [(244, 6), 1453, 7]-NRT-code) [i]OA Folding and Stacking