Information on Result #726958

Linear OA(2798, 768, F27, 45) (dual of [768, 670, 46]-code), using construction XX applied to C1 = C([719,30]), C2 = C([0,35]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([719,35]) based on
  1. linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,30}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(2786, 728, F27, 45) (dual of [728, 642, 46]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,35}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
  5. linear OA(278, 26, F27, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,27)), using
  6. linear OA(274, 14, F27, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,27)), 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(2798, 384, F27, 2, 45) (dual of [(384, 2), 670, 46]-NRT-code) [i]OOA Folding