Information on Result #720891

Linear OA(9141, 772, F9, 48) (dual of [772, 631, 49]-code), using construction XX applied to C1 = C([59,100]), C2 = C([53,94]), C3 = C1 + C2 = C([59,94]), and C∩ = C1 ∩ C2 = C([53,100]) based on
  1. linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,100}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {53,54,…,94}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(9127, 728, F9, 48) (dual of [728, 601, 49]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {53,54,…,100}, and designed minimum distance d ≥ |I|+1 = 49 [i]
  4. 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 = {59,60,…,94}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  5. linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
  6. linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-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 OOA(9141, 386, F9, 2, 48) (dual of [(386, 2), 631, 49]-NRT-code) [i]OOA Folding