Information on Result #726060

Linear OA(2772, 768, F27, 31) (dual of [768, 696, 32]-code), using construction XX applied to C1 = C([6,30]), C2 = C([0,20]), C3 = C1 + C2 = C([6,20]), and C∩ = C1 ∩ C2 = C([0,30]) based on
  1. linear OA(2749, 728, F27, 25) (dual of [728, 679, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {6,7,…,30}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(2741, 728, F27, 21) (dual of [728, 687, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(2758, 728, F27, 31) (dual of [728, 670, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
  4. linear OA(2730, 728, F27, 15) (dual of [728, 698, 16]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {6,7,…,20}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  5. linear OA(279, 26, F27, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,27)), using
  6. linear OA(275, 14, F27, 5) (dual of [14, 9, 6]-code or 14-arc in PG(4,27)), 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(2772, 384, F27, 2, 31) (dual of [(384, 2), 696, 32]-NRT-code) [i]OOA Folding