Information on Result #720098

Linear OA(992, 754, F9, 32) (dual of [754, 662, 33]-code), using construction XX applied to C1 = C([73,100]), C2 = C([69,96]), C3 = C1 + C2 = C([73,96]), and C∩ = C1 ∩ C2 = C([69,100]) based on
  1. linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,100}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(976, 728, F9, 28) (dual of [728, 652, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,96}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,100}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,96}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  5. linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
  6. linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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(992, 377, F9, 2, 32) (dual of [(377, 2), 662, 33]-NRT-code) [i]OOA Folding