Information on Result #1010829

Linear OOA(3190, 2796934, F3, 3, 16) (dual of [(2796934, 3), 8390612, 17]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(339, 733, F3, 3, 8) (dual of [(733, 3), 2160, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(339, 2199, F3, 8) (dual of [2199, 2160, 9]-code), using
      • discarding factors / shortening the dual code based on linear OA(339, 2200, F3, 8) (dual of [2200, 2161, 9]-code), using
        • construction X applied to Ce(7) ⊂ Ce(4) [i] based on
          1. linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
          2. linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
          3. linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
  2. linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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.