Information on Result #726961

Linear OA(27101, 770, F27, 46) (dual of [770, 669, 47]-code), using construction XX applied to C1 = C([718,30]), C2 = C([0,35]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([718,35]) based on
  1. linear OA(2778, 728, F27, 41) (dual of [728, 650, 42]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,30}, and designed minimum distance d ≥ |I|+1 = 42 [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(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 = {−10,−9,…,35}, and designed minimum distance d ≥ |I|+1 = 47 [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(279, 28, F27, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,27)), 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(27101, 385, F27, 2, 46) (dual of [(385, 2), 669, 47]-NRT-code) [i]OOA Folding