Information on Result #725400

Linear OA(27107, 190, F27, 65) (dual of [190, 83, 66]-code), using construction XX applied to C1 = C([0,63]), C2 = C([4,64]), C3 = C1 + C2 = C([4,63]), and C∩ = C1 ∩ C2 = C([0,64]) based on
  1. linear OA(27102, 182, F27, 64) (dual of [182, 80, 65]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,63], and designed minimum distance d ≥ |I|+1 = 65 [i]
  2. linear OA(27101, 182, F27, 61) (dual of [182, 81, 62]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,64}, and designed minimum distance d ≥ |I|+1 = 62 [i]
  3. linear OA(27104, 182, F27, 65) (dual of [182, 78, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,64], and designed minimum distance d ≥ |I|+1 = 66 [i]
  4. linear OA(2799, 182, F27, 60) (dual of [182, 83, 61]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {4,5,…,63}, and designed minimum distance d ≥ |I|+1 = 61 [i]
  5. linear OA(273, 6, F27, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,27) or 6-cap in PG(2,27)), using
  6. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), 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(27107, 95, F27, 2, 65) (dual of [(95, 2), 83, 66]-NRT-code) [i]OOA Folding