Information on Result #726419

Linear OA(2767, 744, F27, 33) (dual of [744, 677, 34]-code), using construction XX applied to C1 = C([725,28]), C2 = C([3,29]), C3 = C1 + C2 = C([3,28]), and C∩ = C1 ∩ C2 = C([725,29]) based on
  1. linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,28}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(2753, 728, F27, 27) (dual of [728, 675, 28]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,29}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,29}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. 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 = {3,4,…,28}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  5. linear OA(275, 14, F27, 5) (dual of [14, 9, 6]-code or 14-arc in PG(4,27)), 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(2767, 519, F27, 2, 33) (dual of [(519, 2), 971, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (34, 67, 519)-net over F27 [i]
3Linear OOA(2767, 372, F27, 2, 33) (dual of [(372, 2), 677, 34]-NRT-code) [i]OOA Folding