Information on Result #712976

Linear OA(7104, 208, F7, 41) (dual of [208, 104, 42]-code), using construction XX applied to C1 = C([29,64]), C2 = C([24,58]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([24,64]) based on
  1. linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,64}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(779, 171, F7, 35) (dual of [171, 92, 36]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,58}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(791, 171, F7, 41) (dual of [171, 80, 42]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,64}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  5. linear OA(77, 19, F7, 5) (dual of [19, 12, 6]-code), using
  6. linear OA(76, 18, F7, 4) (dual of [18, 12, 5]-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(7104, 104, F7, 2, 41) (dual of [(104, 2), 104, 42]-NRT-code) [i]OOA Folding
2Linear OOA(7104, 69, F7, 3, 41) (dual of [(69, 3), 103, 42]-NRT-code) [i]