Information on Result #713776

Linear OA(7102, 392, F7, 33) (dual of [392, 290, 34]-code), using construction XX applied to C1 = C([29,57]), C2 = C([38,61]), C3 = C1 + C2 = C([38,57]), and C∩ = C1 ∩ C2 = C([29,61]) based on
  1. linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,57}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(764, 342, F7, 24) (dual of [342, 278, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,61}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,61}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,57}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  5. linear OA(713, 34, F7, 8) (dual of [34, 21, 9]-code), using
  6. linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), 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 OA(7103, 393, F7, 33) (dual of [393, 290, 34]-code) [i]Code Embedding in Larger Space
2Linear OOA(7102, 196, F7, 2, 33) (dual of [(196, 2), 290, 34]-NRT-code) [i]OOA Folding
3Linear OOA(7102, 130, F7, 3, 33) (dual of [(130, 3), 288, 34]-NRT-code) [i]