Information on Result #720077

Linear OA(9116, 786, F9, 36) (dual of [786, 670, 37]-code), using construction XX applied to C1 = C([72,101]), C2 = C([66,93]), C3 = C1 + C2 = C([72,93]), and C∩ = C1 ∩ C2 = C([66,101]) based on
  1. linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,101}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(976, 728, F9, 28) (dual of [728, 652, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,93}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,101}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,93}, and designed minimum distance d ≥ |I|+1 = 23 [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(9116, 393, F9, 2, 36) (dual of [(393, 2), 670, 37]-NRT-code) [i]OOA Folding