Information on Result #726804

Linear OA(2776, 744, F27, 38) (dual of [744, 668, 39]-code), using construction XX applied to C1 = C([723,31]), C2 = C([0,32]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([723,32]) based on
  1. linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,31}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−5,−4,…,32}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(274, 14, F27, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,27)), 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(2776, 372, F27, 2, 38) (dual of [(372, 2), 668, 39]-NRT-code) [i]OOA Folding