Information on Result #1010570

Linear OOA(3117, 2796278, F3, 3, 11) (dual of [(2796278, 3), 8388717, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(311, 77, F3, 3, 5) (dual of [(77, 3), 220, 6]-NRT-code), using
  2. linear OOA(3106, 2796201, F3, 3, 11) (dual of [(2796201, 3), 8388497, 12]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(3163, 5592556, F3, 3, 11) (dual of [(5592556, 3), 16777505, 12]-NRT-code) [i](u, u+v)-Construction for OOAs