Information on Result #1010720

Linear OOA(3168, 2796934, F3, 3, 14) (dual of [(2796934, 3), 8390634, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(332, 733, F3, 3, 7) (dual of [(733, 3), 2167, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(332, 2199, F3, 7) (dual of [2199, 2167, 8]-code), using
      • discarding factors / shortening the dual code based on linear OA(332, 2200, F3, 7) (dual of [2200, 2168, 8]-code), using
        • construction X applied to Ce(6) ⊂ Ce(3) [i] based on
          1. linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
          2. linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
          3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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

None.