Information on Result #1010714

Linear OOA(3161, 2796444, F3, 3, 14) (dual of [(2796444, 3), 8389171, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(325, 243, F3, 3, 7) (dual of [(243, 3), 704, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(325, 729, F3, 7) (dual of [729, 704, 8]-code), using
      • an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  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.