Information on Result #705057

Linear OA(3161, 757, F3, 40) (dual of [757, 596, 41]-code), using construction XX applied to C1 = C([725,33]), C2 = C([0,36]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([725,36]) based on
  1. linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−3,−2,…,36}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  4. linear OA(3130, 728, F3, 34) (dual of [728, 598, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  5. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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(3161, 378, F3, 2, 40) (dual of [(378, 2), 595, 41]-NRT-code) [i]OOA Folding
2Linear OOA(3161, 252, F3, 3, 40) (dual of [(252, 3), 595, 41]-NRT-code) [i]
3Linear OOA(3161, 189, F3, 4, 40) (dual of [(189, 4), 595, 41]-NRT-code) [i]