Information on Result #713960

Linear OA(791, 366, F7, 33) (dual of [366, 275, 34]-code), using construction XX applied to C1 = C([338,25]), C2 = C([0,28]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([338,28]) based on
  1. linear OA(779, 342, F7, 30) (dual of [342, 263, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−4,−3,…,25}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [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 = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
  5. linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), using
  6. linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), 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 OOA(791, 183, F7, 2, 33) (dual of [(183, 2), 275, 34]-NRT-code) [i]OOA Folding
2Linear OOA(791, 122, F7, 3, 33) (dual of [(122, 3), 275, 34]-NRT-code) [i]