Information on Result #1010974

Linear OOA(3239, 2796930, F3, 3, 20) (dual of [(2796930, 3), 8390551, 21]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(343, 729, F3, 3, 10) (dual of [(729, 3), 2144, 11]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using
      • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OOA(3196, 2796201, F3, 3, 20) (dual of [(2796201, 3), 8388407, 21]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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

None.