Information on Result #720490

Linear OA(9120, 766, F9, 41) (dual of [766, 646, 42]-code), using construction XX applied to C1 = C([64,100]), C2 = C([60,94]), C3 = C1 + C2 = C([64,94]), and C∩ = C1 ∩ C2 = C([60,100]) based on
  1. 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]
  2. linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,94}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(9109, 728, F9, 41) (dual of [728, 619, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,100}, and designed minimum distance d ≥ |I|+1 = 42 [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 = {64,65,…,94}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  5. linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), 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(9120, 383, F9, 2, 41) (dual of [(383, 2), 646, 42]-NRT-code) [i]OOA Folding