Information on Result #1010755

Linear OOA(3159, 2796210, F3, 3, 15) (dual of [(2796210, 3), 8388471, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(39, 9, F3, 3, 7) (dual of [(9, 3), 18, 8]-NRT-code), using
  2. linear OOA(3150, 2796201, F3, 3, 15) (dual of [(2796201, 3), 8388453, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(3220, 5592411, F3, 3, 15) (dual of [(5592411, 3), 16777013, 16]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3224, 5592420, F3, 3, 15) (dual of [(5592420, 3), 16777036, 16]-NRT-code) [i]