Information on Result #726828

Linear OA(2797, 774, F27, 43) (dual of [774, 677, 44]-code), using construction XX applied to C1 = C([721,28]), C2 = C([3,35]), C3 = C1 + C2 = C([3,28]), and C∩ = C1 ∩ C2 = C([721,35]) based on
  1. linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(2765, 728, F27, 33) (dual of [728, 663, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,35}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(2782, 728, F27, 43) (dual of [728, 646, 44]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [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(279, 26, F27, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,27)), using
  6. linear OA(276, 20, F27, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,27)), 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(2797, 387, F27, 2, 43) (dual of [(387, 2), 677, 44]-NRT-code) [i]OOA Folding