Information on Result #720673

Linear OA(9127, 761, F9, 44) (dual of [761, 634, 45]-code), using construction XX applied to C1 = C([722,34]), C2 = C([0,37]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([722,37]) based on
  1. linear OA(9112, 728, F9, 41) (dual of [728, 616, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,34}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
  3. linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,37}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
  6. linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), 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(9127, 380, F9, 2, 44) (dual of [(380, 2), 633, 45]-NRT-code) [i]OOA Folding