Information on Result #1010771

Linear OOA(3179, 2796930, F3, 3, 15) (dual of [(2796930, 3), 8390611, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(329, 729, F3, 3, 7) (dual of [(729, 3), 2158, 8]-NRT-code), using
    • OOA 3-folding [i] based on 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 OOA(3150, 2796201, F3, 3, 15) (dual of [(2796201, 3), 8388453, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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.