Information on Result #719408

Linear OA(954, 739, F9, 20) (dual of [739, 685, 21]-code), using construction XX applied to C1 = C([73,91]), C2 = C([76,92]), C3 = C1 + C2 = C([76,91]), and C∩ = C1 ∩ C2 = C([73,92]) based on
  1. linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,91}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,92}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,92}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  4. linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,91}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  5. linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
  6. linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), 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(954, 369, F9, 2, 20) (dual of [(369, 2), 684, 21]-NRT-code) [i]OOA Folding
2Linear OOA(954, 246, F9, 3, 20) (dual of [(246, 3), 684, 21]-NRT-code) [i]