Information on Result #704627

Linear OA(3148, 781, F3, 34) (dual of [781, 633, 35]-code), using construction XX applied to C1 = C([722,22]), C2 = C([0,27]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([722,27]) based on
  1. linear OA(3115, 728, F3, 29) (dual of [728, 613, 30]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,22}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(3133, 728, F3, 34) (dual of [728, 595, 35]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,27}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  4. linear OA(391, 728, F3, 23) (dual of [728, 637, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
  6. linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-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 OA(3149, 782, F3, 34) (dual of [782, 633, 35]-code) [i]Code Embedding in Larger Space