Information on Result #725367

Linear OA(27109, 205, F27, 62) (dual of [205, 96, 63]-code), using construction XX applied to C1 = C([176,50]), C2 = C([0,55]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([176,55]) based on
  1. linear OA(2794, 182, F27, 57) (dual of [182, 88, 58]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−6,−5,…,50}, and designed minimum distance d ≥ |I|+1 = 58 [i]
  2. linear OA(2792, 182, F27, 56) (dual of [182, 90, 57]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,55], and designed minimum distance d ≥ |I|+1 = 57 [i]
  3. linear OA(27100, 182, F27, 62) (dual of [182, 82, 63]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−6,−5,…,55}, and designed minimum distance d ≥ |I|+1 = 63 [i]
  4. linear OA(2786, 182, F27, 51) (dual of [182, 96, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
  5. linear OA(275, 13, F27, 5) (dual of [13, 8, 6]-code or 13-arc in PG(4,27)), using
  6. linear OA(274, 10, F27, 4) (dual of [10, 6, 5]-code or 10-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 OA(27108, 204, F27, 61) (dual of [204, 96, 62]-code) [i]Truncation