Information on Result #726996

Linear OA(27102, 774, F27, 46) (dual of [774, 672, 47]-code), using construction XX applied to C1 = C([719,29]), C2 = C([0,36]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([719,36]) based on
  1. linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,29}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(2788, 728, F27, 46) (dual of [728, 640, 47]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,36}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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(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(27102, 387, F27, 2, 46) (dual of [(387, 2), 672, 47]-NRT-code) [i]OOA Folding