Information on Result #713816

Linear OA(7108, 399, F7, 34) (dual of [399, 291, 35]-code), using construction XX applied to C1 = C([29,56]), C2 = C([38,62]), C3 = C1 + C2 = C([38,56]), and C∩ = C1 ∩ C2 = C([29,62]) based on
  1. linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,56}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(767, 342, F7, 25) (dual of [342, 275, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,62}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,62}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  4. linear OA(751, 342, F7, 19) (dual of [342, 291, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,56}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  5. linear OA(713, 34, F7, 8) (dual of [34, 21, 9]-code), using
  6. linear OA(77, 23, F7, 5) (dual of [23, 16, 6]-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(7108, 133, F7, 3, 34) (dual of [(133, 3), 291, 35]-NRT-code) [i]OOA Folding