Information on Result #1010700

Linear OOA(3143, 2796205, F3, 3, 14) (dual of [(2796205, 3), 8388472, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(37, 4, F3, 3, 7) (dual of [(4, 3), 5, 8]-NRT-code), using
  2. linear OOA(3136, 2796201, F3, 3, 14) (dual of [(2796201, 3), 8388467, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(3204, 5592406, F3, 3, 14) (dual of [(5592406, 3), 16777014, 15]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3207, 5592410, F3, 3, 14) (dual of [(5592410, 3), 16777023, 15]-NRT-code) [i]