Information on Result #713957

Linear OA(7109, 393, F7, 36) (dual of [393, 284, 37]-code), using construction XX applied to C1 = C([335,22]), C2 = C([0,28]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([335,28]) based on
  1. linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,22}, 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(791, 342, F7, 36) (dual of [342, 251, 37]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(711, 29, F7, 6) (dual of [29, 18, 7]-code), using
  6. linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-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, 196, F7, 2, 36) (dual of [(196, 2), 283, 37]-NRT-code) [i]OOA Folding
2Linear OOA(7109, 131, F7, 3, 36) (dual of [(131, 3), 284, 37]-NRT-code) [i]