Information on Result #719529

Linear OA(970, 760, F9, 23) (dual of [760, 690, 24]-code), using construction XX applied to C1 = C([73,91]), C2 = C([78,95]), C3 = C1 + C2 = C([78,91]), and C∩ = C1 ∩ C2 = C([73,95]) 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(949, 728, F9, 18) (dual of [728, 679, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,95}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,95}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  4. linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,91}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  5. linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-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(970, 380, F9, 2, 23) (dual of [(380, 2), 690, 24]-NRT-code) [i]OOA Folding