Information on Result #1117006

Linear OOA(364, 2796211, F3, 5, 6) (dual of [(2796211, 5), 13980991, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(34, 10, F3, 5, 3) (dual of [(10, 5), 46, 4]-NRT-code), using
  2. linear OOA(360, 2796201, F3, 5, 6) (dual of [(2796201, 5), 13980945, 7]-NRT-code), using
    • OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(3233, 5592416, F3, 5, 12) (dual of [(5592416, 5), 27961847, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3234, 5592420, F3, 5, 12) (dual of [(5592420, 5), 27961866, 13]-NRT-code) [i]
3Linear OOA(3235, 5592425, F3, 5, 12) (dual of [(5592425, 5), 27961890, 13]-NRT-code) [i]
4Linear OOA(3236, 5592431, F3, 5, 12) (dual of [(5592431, 5), 27961919, 13]-NRT-code) [i]
5Linear OOA(3240, 6068254, F3, 5, 12) (dual of [(6068254, 5), 30341030, 13]-NRT-code) [i]
6Linear OOA(3244, 6990512, F3, 5, 12) (dual of [(6990512, 5), 34952316, 13]-NRT-code) [i]
7Linear OOA(3241, 6068254, F3, 5, 13) (dual of [(6068254, 5), 30341029, 14]-NRT-code) [i]
8Linear OOA(3245, 6151651, F3, 5, 13) (dual of [(6151651, 5), 30758010, 14]-NRT-code) [i]
9Linear OOA(364, 2796211, F3, 6, 6) (dual of [(2796211, 6), 16777202, 7]-NRT-code) [i]Appending kth Column