Information on Result #725921

Linear OA(2763, 768, F27, 26) (dual of [768, 705, 27]-code), using construction XX applied to C1 = C([719,11]), C2 = C([0,16]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([719,16]) based on
  1. linear OA(2741, 728, F27, 21) (dual of [728, 687, 22]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,11}, and designed minimum distance d ≥ |I|+1 = 22 [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(2751, 728, F27, 26) (dual of [728, 677, 27]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−9,−8,…,16}, and designed minimum distance d ≥ |I|+1 = 27 [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(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(2763, 384, F27, 2, 26) (dual of [(384, 2), 705, 27]-NRT-code) [i]OOA Folding