Information on Result #727041

Linear OA(27102, 768, F27, 47) (dual of [768, 666, 48]-code), using construction XX applied to C1 = C([719,32]), C2 = C([0,37]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([719,37]) based on
  1. linear OA(2780, 728, F27, 42) (dual of [728, 648, 43]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,32}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
  3. linear OA(2790, 728, F27, 47) (dual of [728, 638, 48]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,37}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [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(27102, 384, F27, 2, 47) (dual of [(384, 2), 666, 48]-NRT-code) [i]OOA Folding