Information on Result #705470

Linear OA(3195, 757, F3, 48) (dual of [757, 562, 49]-code), using construction XX applied to C1 = C([725,42]), C2 = C([0,45]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([725,45]) based on
  1. linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,42}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,45}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  4. linear OA(3166, 728, F3, 43) (dual of [728, 562, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  5. linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
  6. linear OA(34, 16, F3, 2) (dual of [16, 12, 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(3195, 378, F3, 2, 48) (dual of [(378, 2), 561, 49]-NRT-code) [i]OOA Folding
2Linear OOA(3195, 252, F3, 3, 48) (dual of [(252, 3), 561, 49]-NRT-code) [i]
3Linear OOA(3195, 189, F3, 4, 48) (dual of [(189, 4), 561, 49]-NRT-code) [i]