Information on Result #720145

Linear OA(9121, 794, F9, 37) (dual of [794, 673, 38]-code), using construction XX applied to C1 = C([72,100]), C2 = C([64,92]), C3 = C1 + C2 = C([72,92]), and C∩ = C1 ∩ C2 = C([64,100]) based on
  1. linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,100}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,92}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,100}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. 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 = {72,73,…,92}, and designed minimum distance d ≥ |I|+1 = 22 [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(9120, 793, F9, 36) (dual of [793, 673, 37]-code) [i]Truncation
2Linear OOA(9121, 397, F9, 2, 37) (dual of [(397, 2), 673, 38]-NRT-code) [i]OOA Folding