Information on Result #713998

Linear OA(7109, 378, F7, 38) (dual of [378, 269, 39]-code), using construction XX applied to C1 = C([334,28]), C2 = C([0,29]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([334,29]) based on
  1. linear OA(794, 342, F7, 37) (dual of [342, 248, 38]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,28}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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 = {−8,−7,…,29}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. 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]
  5. linear OA(712, 33, F7, 7) (dual of [33, 21, 8]-code), using
  6. linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-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(7109, 189, F7, 2, 38) (dual of [(189, 2), 269, 39]-NRT-code) [i]OOA Folding
2Linear OOA(7109, 126, F7, 3, 38) (dual of [(126, 3), 269, 39]-NRT-code) [i]