Information on Result #720190

Linear OA(9124, 794, F9, 38) (dual of [794, 670, 39]-code), using construction XX applied to C1 = C([71,100]), C2 = C([63,92]), C3 = C1 + C2 = C([71,92]), and C∩ = C1 ∩ C2 = C([63,100]) 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 = {71,72,…,100}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. 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 = {63,64,…,92}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,100}, and designed minimum distance d ≥ |I|+1 = 39 [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 = {71,72,…,92}, 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(912, 33, F9, 7) (dual of [33, 21, 8]-code) (see above)

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 OA(9125, 795, F9, 38) (dual of [795, 670, 39]-code) [i]Code Embedding in Larger Space
2Linear OOA(9124, 397, F9, 2, 38) (dual of [(397, 2), 670, 39]-NRT-code) [i]OOA Folding