Information on Result #713813

Linear OA(789, 374, F7, 31) (dual of [374, 285, 32]-code), using construction XX applied to C1 = C([29,56]), C2 = C([35,59]), C3 = C1 + C2 = C([35,56]), and C∩ = C1 ∩ C2 = C([29,59]) 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(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,59}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,59}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  4. linear OA(757, 342, F7, 22) (dual of [342, 285, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,56}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  5. linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
  6. linear OA(73, 10, F7, 2) (dual of [10, 7, 3]-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(789, 187, F7, 2, 31) (dual of [(187, 2), 285, 32]-NRT-code) [i]OOA Folding