Information on Result #720740

Linear OA(9148, 794, F9, 47) (dual of [794, 646, 48]-code), using construction XX applied to C1 = C([62,100]), C2 = C([54,92]), C3 = C1 + C2 = C([62,92]), and C∩ = C1 ∩ C2 = C([54,100]) 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 = {62,63,…,100}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. 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 = {54,55,…,92}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(9124, 728, F9, 47) (dual of [728, 604, 48]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {54,55,…,100}, and designed minimum distance d ≥ |I|+1 = 48 [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 = {62,63,…,92}, 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(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(9149, 795, F9, 47) (dual of [795, 646, 48]-code) [i]Code Embedding in Larger Space
2Linear OOA(9148, 397, F9, 2, 47) (dual of [(397, 2), 646, 48]-NRT-code) [i]OOA Folding