Information on Result #719664

Linear OA(971, 747, F9, 25) (dual of [747, 676, 26]-code), using construction XX applied to C1 = C([724,19]), C2 = C([0,20]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([724,20]) based on
  1. linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,19}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
  5. linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), using
  6. linear OA(90, 3, F9, 0) (dual of [3, 3, 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(971, 249, F9, 3, 25) (dual of [(249, 3), 676, 26]-NRT-code) [i]OOA Folding