Information on Result #712920

Linear OA(791, 192, F7, 38) (dual of [192, 101, 39]-code), using construction XX applied to C1 = C([29,65]), C2 = C([28,60]), C3 = C1 + C2 = C([29,60]), and C∩ = C1 ∩ C2 = C([28,65]) based on
  1. linear OA(782, 171, F7, 37) (dual of [171, 89, 38]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,65}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(773, 171, F7, 33) (dual of [171, 98, 34]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,60}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(785, 171, F7, 38) (dual of [171, 86, 39]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,65}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(76, 18, F7, 4) (dual of [18, 12, 5]-code), using
  6. linear OA(70, 3, F7, 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(791, 96, F7, 2, 38) (dual of [(96, 2), 101, 39]-NRT-code) [i]OOA Folding
2Linear OOA(791, 64, F7, 3, 38) (dual of [(64, 3), 101, 39]-NRT-code) [i]