Information on Result #719569

Linear OA(992, 786, F9, 27) (dual of [786, 694, 28]-code), using construction XX applied to C1 = C([81,101]), C2 = C([75,93]), C3 = C1 + C2 = C([81,93]), and C∩ = C1 ∩ C2 = C([75,101]) based on
  1. linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,101}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(952, 728, F9, 19) (dual of [728, 676, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {75,76,…,93}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {75,76,…,101}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,93}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  5. linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
  6. linear OA(97, 25, F9, 5) (dual of [25, 18, 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(992, 393, F9, 2, 27) (dual of [(393, 2), 694, 28]-NRT-code) [i]OOA Folding