Information on Result #725924

Linear OA(2766, 770, F27, 27) (dual of [770, 704, 28]-code), using construction XX applied to C1 = C([718,11]), C2 = C([0,16]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([718,16]) based on
  1. linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,11}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(2733, 728, F27, 17) (dual of [728, 695, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(2753, 728, F27, 27) (dual of [728, 675, 28]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,16}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(2723, 728, F27, 12) (dual of [728, 705, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(2766, 385, F27, 2, 27) (dual of [(385, 2), 704, 28]-NRT-code) [i]OOA Folding