Information on Result #720629

Linear OA(9140, 786, F9, 45) (dual of [786, 646, 46]-code), using construction XX applied to C1 = C([63,101]), C2 = C([57,93]), C3 = C1 + C2 = C([63,93]), and C∩ = C1 ∩ C2 = C([57,101]) based on
  1. linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,101}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(9100, 728, F9, 37) (dual of [728, 628, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,93}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(9121, 728, F9, 45) (dual of [728, 607, 46]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,101}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [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(9140, 393, F9, 2, 45) (dual of [(393, 2), 646, 46]-NRT-code) [i]OOA Folding