Information on Result #719549

Linear OA(976, 761, F9, 25) (dual of [761, 685, 26]-code), using construction XX applied to C1 = C([722,15]), C2 = C([0,18]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([722,18]) based on
  1. linear OA(961, 728, F9, 22) (dual of [728, 667, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,15}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,18}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(976, 380, F9, 2, 25) (dual of [(380, 2), 684, 26]-NRT-code) [i]OOA Folding
2Linear OOA(976, 253, F9, 3, 25) (dual of [(253, 3), 683, 26]-NRT-code) [i]