Information on Result #1010760

Linear OOA(3164, 2796235, F3, 3, 15) (dual of [(2796235, 3), 8388541, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(314, 34, F3, 3, 7) (dual of [(34, 3), 88, 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(3165, 2796235, F3, 3, 15) (dual of [(2796235, 3), 8388540, 16]-NRT-code) [i]OOA Duplication
2Linear OOA(3166, 2796235, F3, 3, 15) (dual of [(2796235, 3), 8388539, 16]-NRT-code) [i]
3Linear OOA(3225, 5592436, F3, 3, 15) (dual of [(5592436, 3), 16777083, 16]-NRT-code) [i](u, u+v)-Construction for OOAs