Information on Result #704523

Linear OA(3112, 747, F3, 27) (dual of [747, 635, 28]-code), using construction XX applied to C1 = C([339,364]), C2 = C([342,365]), C3 = C1 + C2 = C([342,364]), and C∩ = C1 ∩ C2 = C([339,365]) based on
  1. linear OA(3103, 728, F3, 26) (dual of [728, 625, 27]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,364}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(397, 728, F3, 24) (dual of [728, 631, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,365}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(3109, 728, F3, 27) (dual of [728, 619, 28]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,365}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(391, 728, F3, 23) (dual of [728, 637, 24]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,364}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  5. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
  6. linear OA(30, 6, F3, 0) (dual of [6, 6, 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(3112, 646, F3, 2, 27) (dual of [(646, 2), 1180, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3112, 646, F3, 3, 27) (dual of [(646, 3), 1826, 28]-NRT-code) [i]
3Linear OOA(3112, 646, F3, 4, 27) (dual of [(646, 4), 2472, 28]-NRT-code) [i]
4Linear OOA(3112, 646, F3, 5, 27) (dual of [(646, 5), 3118, 28]-NRT-code) [i]
5Digital (85, 112, 646)-net over F3 [i]