Information on Result #714053

Linear OA(7107, 374, F7, 38) (dual of [374, 267, 39]-code), using construction XX applied to C1 = C([22,56]), C2 = C([28,59]), C3 = C1 + C2 = C([28,56]), and C∩ = C1 ∩ C2 = C([22,59]) based on
  1. linear OA(790, 342, F7, 35) (dual of [342, 252, 36]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {22,23,…,56}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,59}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(797, 342, F7, 38) (dual of [342, 245, 39]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {22,23,…,59}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(775, 342, F7, 29) (dual of [342, 267, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,56}, and designed minimum distance d ≥ |I|+1 = 30 [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(7107, 187, F7, 2, 38) (dual of [(187, 2), 267, 39]-NRT-code) [i]OOA Folding