Information on Result #719890

Linear OA(9107, 784, F9, 33) (dual of [784, 677, 34]-code), using construction XX applied to C1 = C([64,90]), C2 = C([72,96]), C3 = C1 + C2 = C([72,90]), and C∩ = C1 ∩ C2 = C([64,96]) based on
  1. linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,90}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. 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 = {72,73,…,96}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,96}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(951, 728, F9, 19) (dual of [728, 677, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,90}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  5. linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
  6. linear OA(97, 23, F9, 5) (dual of [23, 16, 6]-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(9107, 392, F9, 2, 33) (dual of [(392, 2), 677, 34]-NRT-code) [i]OOA Folding